Geometry practice

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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Follow each section prompt. Name rays from the vertex outward, keep the vertex in the middle of a three-letter angle name, and include composite angles when asked for every angle.

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Read the given facts, not the page orientation

Angles keep the same measure when a diagram is rotated. A right-angle square is an exact fact; otherwise use the stated degree measures when they are supplied. The first ten questions on the classification sheet intentionally omit measures so learners reason from the picture.

Naming practice uses directed rays. Read ray BA from vertex B through A. In a multi-ray figure, every pair of rays determines an angle, including a larger angle that spans smaller sectors.

Learning objective

What this activity builds

Use the vertex and ray endpoints to name a single angle or systematically enumerate every non-reflex angle in a multi-ray figure.

Worked example

Rays BA and BC form one angle at B, labelled 4. What four names can it have?

Angle ABC, angle CBA, angle B and angle 4.

The vertex B stays in the middle of a three-letter name, and either ray may be named first. The one-letter name is unambiguous because this figure contains only one angle. The visible number supplies a fourth name.

Teaching notes

Make the practice count

  • Say each ray from the vertex outward: ray BA starts at B and passes through A.
  • Circle the middle letter of every three-letter angle name before checking it.
  • For several rays, list endpoint pairs in an orderly table so composite angles are not missed.
  • Accept the reverse three-letter order because it names the same two boundary rays.

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Math SheetNameScore/ 12TeacherDateNaming anglesFor the first group give the vertex and two directed rays. Give four valid names in the second group. Name every non-reflex angle in the last group; reversethree-letter names are also valid.Vertex and raysFour namesAll angles1.MNO2.PQR3.STU4.VWX5.YZA16.BCD27.EFG38.HIJ49.KLMN1210.OPQRS12311.TUVW1212.XYZAB123math-sheet.comPage 1 / 1

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