Geometry practice

Point Location with Angles Worksheets

Classify points as interior, exterior or on an angle using nine clear ray diagrams, with a separate answer key.

Ready-made English PDF · fixed settings

Customization below makes a separate PDF.

Fixed English ready-made files. Custom settings below apply only to the configured PDF.

Ready to print

Start with a ready-made worksheet

State whether point P is interior, exterior or on the angle. The vertex and both rays belong to the angle.

Download the practice pages alone, or include a separate answer key or teacher model. Longer activities may use more than one page.

Customize this worksheet

Paper sizes and printing help · More geometry activities

Read rays, not short segments

An angle continues along both rays. A point on either ray or at the shared vertex is on the angle.

Learning objective

What this activity builds

Recognize the interior, exterior and boundary of a non-reflex angle.

Worked example

Point P lies on one ray that forms an angle. Is P interior, exterior or on the angle?

On the angle.

The two boundary rays and their shared vertex are on the angle. Interior points lie strictly between the rays; other points are exterior.

Teaching notes

Make the practice count

  • Find both rays and the common vertex first.
  • Choose interior only when the point is strictly between the rays.
  • A point on a boundary ray or at the vertex is on the angle.

Make it yours

Customize the practice

Choose your options, update the preview, then download the exact same pages.

Nine ray diagrams ask students to classify point P. Every worksheet has three interior, three exterior and three boundary cases, including both rays and the vertex.

Worksheet settings

Page note and reproducible seed

The same settings and seed make the same questions. Shared links include your page note; leave personal information out.

Configured PDF · Point Location with Angles · US Letter

Preview ready. Download includes these exact pages.

1 student page
Enlarged pages scroll. PDF size stays the same.
Math SheetNameScoreTeacherDatePoint Location with AnglesClassify point P as interior, exterior or on the angle.1.P2.P3.P4.P5.P6.P7.P8.P9.PA point on either ray or at the vertex is on the angle.math-sheet.comPage 1 of 1

A useful next step

Related activities

First page preview: Angle Addition Worksheets

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 download
First page preview: Naming angles worksheets

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.

Preview and download