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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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Match each side to its opposite angle, then order the angles or identify the largest and smallest.

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A4

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Match each angle to the side across from it

The largest angle lies opposite the longest side, and the smallest angle lies opposite the shortest side.

Learning objective

What this activity builds

Compare triangle angles using the lengths of their opposite sides.

Worked example

In triangle ABC, AB = 7, BC = 9, and CA = 5. Order the angles from largest to smallest.

Angle A > angle C > angle B.

BC is opposite A, AB is opposite C, and CA is opposite B. The side order 9 > 7 > 5 gives the same order for their opposite angles.

Teaching notes

Make the practice count

  • Trace from a vertex to the side that does not touch it.
  • The longest side faces the largest angle.
  • Use the labels and given lengths, rather than estimating from the picture.

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Each section includes two labelled diagrams and two text-only named triangles. Worked keys show the opposite matches before the answer.

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Math SheetNameScoreTeacherDateOrder Triangle AnglesUse the side lengths to order the opposite angles from largest to smallest or identify the largest and smallest angles.Section 1: Order all anglesWrite the complete order from largest to smallest. Use the opposite side-angle relationship.1. Order the angles of triangle ABC from largest to smallest.ABC14 in26 in27 inLargest to smallest:2. Order the angles of triangle PQR from largest to smallest.PQR25 ft18 ft14 ftLargest to smallest:3. Order the angles of triangle XYZ from largest to smallest.YZ = 22 yd, XZ = 25 yd, XY = 12 ydLargest to smallest:4. Order the angles of triangle JKL from largest to smallest.KL = 17 mi, JL = 26 mi, JK = 24 miLargest to smallest:Larger angles lie opposite longer sides.math-sheet.comPage 1 of 2
Math SheetNameScoreTeacherDateOrder Triangle AnglesUse the side lengths to order the opposite angles from largest to smallest or identify the largest and smallest angles.Section 2: Name the largest and smallest anglesIdentify both extremes from the opposite side-angle relationship.5. Name the largest and smallest angles of triangle MNP.MNP27 in28 in29 inLargest:Smallest:6. Name the largest and smallest angles of triangle RST.RST15 ft17 ft8 ftLargest:Smallest:7. Name the largest and smallest angles of triangle DEF.EF = 30 yd, DF = 11 yd, DE = 27 ydLargest:Smallest:8. Name the largest and smallest angles of triangle UVW.VW = 30 mi, UW = 13 mi, UV = 25 miLargest:Smallest:Larger angles lie opposite longer sides.math-sheet.comPage 2 of 2

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First page preview: Order Triangle Sides Worksheets

Geometry

Order Triangle Sides Worksheets

Use angle measures to order opposite sides or identify the longest and shortest sides, with diagrams and named triangles.

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