Geometry
Classifying angles worksheets
Classify 20 angles as acute, right, obtuse or straight. Ten questions use unlabelled diagrams and ten use exact degree measures, followed by a separate answer key.
Preview and downloadName the figure. Explain the relationship.
Geometry foundations worksheets
Practice focused geometry skills with original angle, coordinate, triangle, quadrilateral, circle, solid and line diagrams. Classify, transform, measure and draw figures, solve triangle relationships, calculate two- and three-dimensional measurements, or compare line relationships.
Choose a geometry taskLook, reason, describe
Angles, names and relationships
Classify, name, measure and draw angles, then use complementary, supplementary and vertical relationships to find exact missing measures.
Geometry
Naming angles worksheets
Identify vertices and directed rays, give four valid names for a single angle, and name every angle formed by three or four rays. Twelve questions include complete answer lists.
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Geometry
Triangle facts reference
Review triangle parts, the 180-degree interior-angle sum, side classifications and angle classifications in one fixed two-page handout with six exact diagrams for Letter or A4 paper.
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Geometry
Identifying triangles worksheets
Classify 12 triangles into seven angle-and-side buckets using exact geometry, equal-side tick marks and right-angle squares. Choose any nonempty class set and print a separate answer key.
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Geometry
Triangle angle sum worksheets
Solve eight exact triangle angle equations with one variable expression and two numeric givens. Choose interior, exterior or mixed placement independently from single-variable, algebraic or mixed expression practice.
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Geometry
Triangle exterior angle theorem worksheets
Solve eight exact adjacent-exterior equations with one variable expression and two numeric givens. Choose single-variable, algebraic-expression or mixed practice, with matching Letter and A4 previews and answer keys.
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Geometry
Angle-pair relationships worksheets
Identify every relationship that applies to two marked angles: adjacent, complementary, a linear pair or vertical. Eight diagrams show both exact measures and a separate checked answer key.
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Geometry
Complementary angles worksheets
Find one missing angle in 9, 12 or 15 complementary pairs using whole numbers, tenths or hundredths. Numbered diagrams show the two regions and a separate answer key preserves every given measure.
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Geometry
Supplementary angles worksheets
Find one missing angle in 6, 8 or 10 supplementary pairs using whole numbers, tenths or hundredths. Each numbered straight-line diagram identifies the given and unknown regions clearly.
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Geometry
Vertical angles worksheets
Use two adjacent givens in 6 or 8 intersecting-line diagrams to find both opposite unknowns. Four numbered regions, whole-number or decimal precision and a two-mark answer key make every equality explicit.
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Geometry
Measuring angles worksheets
Measure eight named angles to the nearest degree. Each diagram uses a two-sided baseline, a clearly labelled vertex and one ray above the line, with a separate numeric answer key.
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Geometry
Drawing angles worksheets
Construct eight named angles from stated whole-degree measures. Every prompt identifies the left or right starting ray; the separate key adds the correct new ray and endpoint label.
Preview and downloadLook, reason, describe
Parallel, perpendicular and intersecting lines
Treat each drawn line, ray or segment as part of an extended supporting line. Identify one relationship at a time, classify all three, or read named pairs from one shared diagram.
Geometry
Identifying parallel lines worksheets
Decide whether six pairs of extended supporting lines are parallel. The balanced set includes parallel, perpendicular and oblique examples in varied orientations.
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Geometry
Identifying perpendicular lines worksheets
Decide whether six pairs of extended supporting lines are perpendicular. True examples include a right-angle mark; counterexamples include parallel and oblique pairs.
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Geometry
Classifying line relationships worksheets
Classify six pairs of extended supporting lines as parallel, perpendicular or intersecting but not perpendicular. Each worksheet balances two examples of every relationship.
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Geometry
Line relationships from a diagram worksheets
Classify ten named pairs from one shared six-line diagram as parallel, perpendicular or intersecting but not perpendicular. Endpoint labels vary by seed, and a separate answer key repeats the same figure.
Preview and downloadLook, reason, describe
Shapes, area and perimeter
Use exact geometric markings and labelled measurements to calculate area, perimeter, circumference, volume and related dimensions with correct units.
Geometry
Quadrilateral area and perimeter worksheets
Name nine marked squares, rectangles, parallelograms, rhombi and trapezoids, then calculate area, perimeter or both with exact whole-number or decimal dimensions in five selectable units.
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Geometry
Triangle area and perimeter worksheets
Identify nine right, common scalene, equilateral and isosceles triangles, then calculate area, perimeter or both from visible whole-number or decimal measurements in five selectable units.
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Geometry
Circle measurements worksheets
Find radius, diameter, circumference and area in nine circles from a supplied radius or diameter. Choose any of five units, use pi = 3.14, and optionally print the formulas.
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Geometry
Area of composite figures worksheets
Find the shaded area of nine 2D composite figures. Choose joined parts or cutouts, shape families, units and rounding; print diagrams and a separate answer key.
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Geometry
Prism and cylinder volume worksheets
Find the volume of nine cubes, rectangular, triangular, trapezoidal, regular pentagonal or regular hexagonal prisms and cylinders, with selectable problem types and units.
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Coordinate transformations
Draw translated and reflected images on four-quadrant coordinate grids using exact integer-coordinate rules.
Geometry
Coordinate translations worksheets
Translate six triangles, convex quadrilaterals, rectangles and concave rectilinear polygons on -5 to 5 coordinate grids using horizontal, vertical and two-axis directions.
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Geometry
Coordinate reflections worksheets
Reflect six triangles, convex quadrilaterals, rectangles and concave rectilinear polygons across the axes, both diagonals and non-origin horizontal or vertical lines.
Preview and downloadCompass and straightedge
Construction worksheets
Print given figures and spacious work areas for constructing lines, angles, circles and triangles, with separate construction steps and answer diagrams.
Geometry
Line Segment Construction Worksheets
Construct midpoints, perpendicular bisectors and parallel lines using a compass and straightedge.
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Geometry
Angle Construction Worksheets
Copy angles and construct 60-degree and 90-degree angles with printable compass-and-straightedge exercises.
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Geometry
Angle Bisector Construction Worksheets
Bisect standalone angles and triangle angles, with clear givens, drawing space and separate construction keys.
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Geometry
Perpendicular Bisector Construction Worksheets
Construct perpendicular bisectors of segments and triangle sides on printable worksheets.
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Geometry
Circle Construction Worksheets
Construct circles from a supplied center and radius or from a given diameter, with separate step-by-step keys.
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Geometry
Triangle Construction Worksheets
Construct equilateral and three-side triangles from supplied segments with usable paper workspace.
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Geometry
Triangle Altitude Construction Worksheets
Construct altitudes of acute, right and obtuse triangles, including extensions of opposite sides.
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Geometry
Triangle Median Construction Worksheets
Construct triangle medians by bisecting the opposite side and joining its midpoint to the named vertex.
Preview and downloadCoordinate geometry
Rotate, transform and identify
Choose printable coordinate-grid exercises for drawing transformations and identifying original-image pairs, with separate answer keys.
Geometry
Coordinate Rotation Worksheets
Draw rotated images of triangles, quadrilaterals and box outlines on printable coordinate grids.
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Geometry
Mixed Transformation Worksheets
Choose translations, rotations and reflections for a mixed printable worksheet with separate answer keys.
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Geometry
Identify Transformation Worksheets
Compare labeled original and image figures to identify translations, rotations and reflections on paper.
Preview and downloadCircle geometry
Circle angles and parts
Name arcs, central and inscribed angles, solve circle angle problems, and identify radii and diameters.
Geometry
Arcs and Central Angles Worksheets
Name minor arcs, major arcs, semicircles and central angles, then find their measures with three or four points on a circle.
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Geometry
Inscribed Angles Worksheets
Name inscribed angles and intercepted arcs, then solve angle, triangle and cyclic quadrilateral problems with worked answer keys.
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Geometry
Identify Circle, Radius and Diameter Worksheets
Identify the circle, a drawn radius and a diameter in nine labeled diagrams, with all valid radius names in the answer key.
Preview and downloadAngle foundations
Points and angle addition
Locate points relative to an angle, then use adjacent parts to find a missing angle measure.
Geometry
Point Location with Angles Worksheets
Classify points as interior, exterior or on an angle using nine clear ray diagrams, with a separate answer key.
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Geometry
Angle Addition Worksheets
Find a missing angle part or whole using the angle addition postulate, with whole numbers, tenths or hundredths and worked answers.
Preview and downloadFind missing angles
Use alternate, corresponding and other angle relationships on marked diagrams, with whole degrees, tenths or hundredths.
Geometry
Alternate Angles Worksheets
Find two missing alternate interior angles on marked parallel-line diagrams, with whole degrees, tenths or hundredths.
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Geometry
Corresponding Angles Worksheets
Use matching positions at parallel-line intersections to find missing corresponding angles, with three precision options.
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Geometry
Find All Missing Angles Worksheets
Find seven missing angles from one given on parallel lines, or mix in right-angle split diagrams for complementary-angle reasoning.
Preview and downloadQuadrilateral names, angles and properties
Name marked figures, find missing angles, and use side, diagonal and midsegment relationships.
Geometry
Identify Quadrilaterals Worksheets
Name seven types of quadrilaterals using side, parallel and right-angle marks, with a separate answer key.
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Geometry
Identify Quadrilaterals and Polygons Worksheets
Mix marked quadrilaterals with regular polygons from pentagons through dodecagons in twelve naming tasks.
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Geometry
Quadrilateral Angle Sum Worksheets
Find missing interior angles using the 360-degree sum, with diagram or listed-angle formats and optional decimal practice.
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Geometry
Parallelogram Properties Worksheets
Use consecutive angles, opposite sides, bisected diagonals and diagonal-split angles in direct or algebra practice.
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Geometry
Trapezoid Properties Worksheets
Practice same-leg angles, isosceles-trapezoid diagonals, midsegments and missing bases with direct or algebra questions.
Preview and downloadMixed shapes: area and perimeter
Choose triangles, quadrilaterals and regular polygons for one mixed worksheet.
Geometry
Mixed Shapes Area and Perimeter Worksheets
Mix triangles, quadrilaterals and regular polygons on nine-question worksheets. Select 17 shape types, units and area or perimeter practice, with worked answers.
Preview and downloadRegular polygons
Identify five- through twelve-sided polygons, find their angle measures, and calculate area and perimeter.
Geometry
Identify Regular Polygons Worksheets
Name regular polygons with five through twelve sides using clear, rotated diagrams and a separate answer key.
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Geometry
Regular Polygon Angles Worksheets
Find one interior angle, one exterior angle and the interior-angle sum for regular polygons with five through twelve sides.
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Geometry
Regular Polygon Area and Perimeter Worksheets
Identify regular polygons and calculate area or perimeter from side lengths and clearly marked approximate apothems, with worked answers.
Preview and downloadLine equations and slopes
Write parallel and perpendicular equations through a point, or classify relationships from equations and slopes.
Geometry
Parallel Line Through a Point Worksheets
Write the equation of a distinct parallel line through a given point, using slope-intercept, standard or mixed input equations.
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Geometry
Perpendicular Line Through a Point Worksheets
Write perpendicular line equations through a given point, including exact fractional slopes and horizontal or vertical cases.
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Geometry
Classify Lines from Equations Worksheets
Compare two linear equations and identify parallel, perpendicular or intersecting but not perpendicular lines, with worked slope reasoning.
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Geometry
Parallel and Perpendicular Slopes Worksheets
Find both parallel and perpendicular slopes from integer or fractional slopes, with explicit zero and undefined slope practice.
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Geometry
Classify Lines from Slopes Worksheets
Decide whether distinct lines are parallel, perpendicular or neither from their slopes, including fractions, zero and undefined slopes.
Preview and downloadMidpoints, lines and rays
Read and plot midpoints on coordinate grids, and identify lines, rays and segments from their marks.
Geometry
Midpoint Formula Worksheets
Calculate exact midpoints from printed whole-number, decimal-tenths, fractional or mixed endpoints, then plot each midpoint in the first quadrant or all four quadrants.
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Geometry
Identify Lines, Rays, and Line Segments Worksheets
Identify nine diagrams by their endpoints and arrowheads, with varied orientations and a separate answer key.
Preview and downloadAngle bisectors and medians
Use equal angles, incenter distances, midpoints and the centroid’s 2:1 ratio to find missing measures.
Geometry
Triangle Angle Bisectors Worksheets
Practice equal half-angles, incenter distances and right triangles with clear diagrams and worked answers.
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Geometry
Triangle Medians Worksheets
Use midpoint facts and the centroid’s 2:1 ratio to find missing lengths, with integer, decimal and algebraic-expression practice.
Preview and downloadTriangle inequality and side-angle ordering
Check possible side lengths, find third-side ranges, and compare opposite sides and angles.
Geometry
Triangle Inequality Theorem Worksheets
Decide whether side lengths make a triangle and find the possible range of a third side, using whole numbers or tenths.
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Geometry
Order Triangle Angles Worksheets
Use side lengths to order opposite angles or identify the largest and smallest angles, with diagrams and named triangles.
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Geometry
Order Triangle Sides Worksheets
Use angle measures to order opposite sides or identify the longest and shortest sides, with diagrams and named triangles.
Preview and downloadCoordinates and balance
Triangle centroids
Read vertices from a graph or use three given ordered pairs to find the centroid. Keep exact fraction coordinates and follow the separate worked answer key.
Geometry
Centroid from a Graph Worksheets
Read triangle vertices on a coordinate grid and calculate the centroid with exact answers.
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Geometry
Centroid from Vertices Worksheets
Find triangle centroids from three given vertices, with exact integer or fraction coordinates.
Preview and downloadAngles and side ratios
Right-triangle trigonometry
Find trigonometric ratios, calculate acute angles, solve missing sides and connect two triangles in multi-step problems. Each resource includes a worked answer key and printable practice.
Geometry
Trigonometric Ratios Worksheets
Find sine, cosine and tangent from labelled right triangles and give simplified ratios.
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Geometry
Inverse Trigonometric Ratios Worksheets
Find acute angles from two or three labelled sides using inverse sine, cosine or tangent.
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Geometry
Solving Right Triangles Worksheets
Use known angles and sides to solve right triangles with clear diagrams and worked trigonometric steps.
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Geometry
Multi-Step Trigonometry Worksheets
Solve connected right-triangle problems by finding a shared length before calculating the requested measurement.
Preview and downloadCorresponding parts
Similarity and proportions
Compare polygon shapes, find missing corresponding lengths, justify triangle similarity and solve algebraic proportions. Each resource includes reproducible custom practice and printable worked answers.
Geometry
Similar Polygons Worksheets
Decide whether polygon pairs are similar and find scale factors, with triangles, rectangles, trapezoids, parallelograms and other quadrilaterals.
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Geometry
Using Similar Polygons Worksheets
Find missing corresponding sides in similar polygons using given scale ratios or known side pairs, with eight problems and worked answers.
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Geometry
Similar Right Triangles Worksheets
Use an altitude to the hypotenuse to find missing lengths in a right triangle, with exact radical answers or rational-only practice.
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Geometry
Similar Triangles Worksheets
Identify similar and non-similar triangle pairs using SSS, SAS or AA, and write the matching vertex order with a worked answer key.
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Geometry
Solving Proportions Worksheets
Solve ten algebraic proportions with five expression families, variable denominators, exact fraction or decimal answers and worked solutions.
Preview and downloadMeasure plane figures
Area and perimeter formula reference
Print nine labelled cards with formulas, symbol meanings, assumptions and unit reminders for common plane figures.
Geometry
Area and Perimeter Formula Reference
Print nine labelled area and perimeter formula cards for common plane figures, with exact assumptions, symbol definitions and unit reminders.
Preview and downloadRecognize, unfold, scale
Solid figures, nets and similarity
Name solid figures, connect their surfaces to nets, sketch similar solids, and keep a printable formula reference nearby.
Geometry
Identify Solid Figures Worksheets
Name cubes, prisms, pyramids, cylinders, cones and spheres in a 12-question printable worksheet with an answer key.
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Geometry
Nets of Solids Worksheets
Identify solids from their nets and sketch nets for prisms, pyramids, cylinders and cones, with printable example answers.
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Geometry
Similar Solids Worksheets
Identify similar solid figures from labelled lengths and sketch scaled copies, with exact scale factors and example solutions.
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Geometry
Surface Area and Volume Formula Handout
Print a reference for cubes, rectangular and general prisms, cylinders, pyramids, cones and spheres, with definitions and formula assumptions.
Preview and downloadFrom faces to space
Solid surface area and volume
Choose prism and pyramid bases, cylinders, cones or spheres. Generate labelled diagrams with worked answers in square and cubic units.
Geometry
Solid Surface Area Worksheets
Create surface area worksheets for prisms, pyramids, cylinders and cones, with labelled diagrams and worked answer keys.
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Geometry
Solid Volume Worksheets
Practice the volumes of prisms, pyramids, cylinders and cones with selectable base shapes, units and worked answer keys.
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Geometry
Sphere Surface Area and Volume Worksheets
Calculate both the surface area and volume of spheres from radius or diameter, with printable worksheets and worked answers.
Preview and downloadChoose by readiness
Fifteen focused starting points for Grades 4–6
Choose a task from what the learner can already recognize and explain. These grade labels are navigation suggestions based on prerequisite skills; they are not claims of alignment to a particular country, school or standards framework.
grade 4 · grade 5 · grade 6
Sort angles by size
Begin after learners recognize a right angle and can compare degree measures with 90 and 180.
Open this focused practice →grade 4 · grade 5 · grade 6
Find lines with the same direction
Use clear rotated examples to decide whether the extended supporting lines will ever meet.
Open this focused practice →grade 5 · grade 6
Name vertices, rays and angles
Move from the parts of one angle to equivalent names and complete lists in multi-ray figures.
Open this focused practice →grade 4 · grade 5 · grade 6
Recognize exact right-angle crossings
Compare perpendicular examples with parallel and oblique pairs, including rotated configurations.
Open this focused practice →grade 6
Apply every angle-pair definition
An enrichment choice for learners ready to combine position, opposite rays and exact measures.
Open this focused practice →grade 4 · grade 5 · grade 6
Classify all three line relationships
Distinguish parallel, perpendicular and ordinary oblique intersections in one balanced set.
Open this focused practice →grade 4 · grade 5 · grade 6
Read named pairs from one diagram
Use endpoint names and right-angle marks to classify ten pairs drawn in a shared six-line figure.
Open this focused practice →grade 4 · grade 5 · grade 6
Measure from a named baseline ray
Align a protractor with the requested left or right starting ray and measure eight angles to the nearest degree.
Open this focused practice →grade 4 · grade 5 · grade 6
Construct angles from either side
Use a stated degree and starting ray to draw and label eight new rays above the baseline.
Open this focused practice →grade 5 · grade 6
Find a complement to 90 degrees
Subtract one stated region measure from 90, with whole-number, tenths or hundredths precision.
Open this focused practice →grade 6
Find a supplement on a straight line
Use opposite outer rays to justify a 180-degree total and calculate the missing region.
Open this focused practice →grade 6
Match opposite angles at an intersection
Transfer two adjacent givens to their opposite regions and check each straight-line sum.
Open this focused practice →grade 4 · grade 5 · grade 6
Review triangle facts
Use a fixed two-page reference to connect side classes, angle classes and the 180-degree interior sum.
Open this focused practice →grade 5 · grade 6
Classify triangles by angles and sides
Use equal-side ticks and exact right-angle marks to sort twelve rotated triangles into seven named classes.
Open this focused practice →grade 6
Solve triangle angle equations
Use three numbered angle values, including interior, adjacent exterior and vertical proxy cases, to solve exactly for x.
Open this focused practice →grade 6
Apply the exterior angle theorem
Use one adjacent exterior angle and its two remote interior angles to solve exactly for x.
Open this focused practice →grade 5 · grade 6
Name and measure quadrilaterals
Read exact shape markings, then calculate area and perimeter with linear and squared units.
Open this focused practice →grade 5 · grade 6
Find triangle area and perimeter
Classify real triangles, use visible side lengths, and work with supplied or derived perpendicular heights.
Open this focused practice →grade 6
Find circle measurements
Start from a radius or diameter, then find all four measurements using pi = 3.14 and correct units.
Open this focused practice →grade 6
Find prism and cylinder volume
Find base area, multiply by the distance between bases, and round final irrational volumes to the nearest hundredth.
Open this focused practice →grade 5 · grade 6
Add and subtract compound areas
Decompose nine shaded figures into rectangles, triangles, circles and semicircles, then round only the final signed total.
Open this focused practice →grade 6
Translate polygons on a grid
Apply horizontal, vertical and two-axis movements to every vertex on a four-quadrant coordinate grid.
Open this focused practice →grade 6
Reflect polygons across a line
Use axes, diagonals and offset horizontal or vertical mirror lines to draw exact images.
Open this focused practice →Classify angles with exact boundaries
An acute angle measures more than 0 degrees and less than 90 degrees. A right angle is exactly 90 degrees. An obtuse angle is greater than 90 degrees and less than 180 degrees, while a straight angle is exactly 180 degrees.
Rotating a picture does not change any of those facts. Compare the opening with a square corner, then use an exact measure when the question supplies one.
Name the rays before naming the angle
Ray BA begins at B and passes through A. If rays BA and BC form one angle, B is the vertex and must be the middle letter of a three-letter angle name: angle ABC or angle CBA.
In a figure with several rays, a one-letter name such as angle B is ambiguous. List every pair of rays to find both small sectors and larger composite angles. Three rays make three pairs; four rays make six.
An angle pair can have more than one relationship
Adjacent angles share a vertex and one ray without overlapping. Complementary angles total 90 degrees. A linear pair is adjacent with opposite exterior rays, so its measures total 180 degrees. Vertical angles sit opposite each other where two lines cross.
Check each definition separately. Two opposite 45-degree angles are vertical because of their position and complementary because their measures add to 90 degrees.
Extend short pieces into complete lines
A drawn segment or ray can show the direction of a full supporting line. Parallel supporting lines remain distinct and never meet. Perpendicular supporting lines meet at exactly 90 degrees. Other crossings are intersecting, not perpendicular.
The worksheet directions state this convention explicitly. It prevents a pair of short pieces from being called parallel only because their visible portions stop before an intersection.
Keep drawing
Use geometry on a grid
Print existing grid and coordinate resources when learners are ready to draw their own line and angle examples.
Graph paper
Printable graph paper
Print square graph paper with 1/10, 1/4, 3/8 or 1/2 inch spacing, or a true 1 cm grid. Choose US Letter or A4 and preview the actual number of cells.
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Graph paper
Coordinate plane graph paper
Print first-quadrant or four-quadrant coordinate planes in seven layouts. Choose numbered or unnumbered axes while keeping the declared coordinate ranges.
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Graphing
First-quadrant ordered pairs worksheets
Read and plot positive ordered pairs on a coordinate grid. Each printable worksheet includes 25 questions in three groups and a separate completed answer sheet.
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