Year 7 Geometry Worksheet: Points, Rays, Lines and Intervals

Free worksheet covering Math for age 12 students. Created with Learning Corner's AI-powered tools.

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Instructions

  1. Read the definitions and examples carefully.
  2. Use a ruler to draw straight lines and mark points clearly.
  3. Remember that the arrowheads show that a ray or line continues forever.
  4. Complete each section from left to right. Check your answers using the Answer Key at the end.
  5. In this worksheet, an interval means the part of a line between two endpoints. It is also called a line segment.

Learning Goals

By the end of this worksheet, you should be able to:

  • Define a point, ray, line, and interval.
  • Label geometric figures with capital letters.
  • Name figures correctly using their labels.
  • Identify whether a figure has zero, one, or two endpoints.
  • Use geometry vocabulary in real-world situations.

1. Key Definitions

Figure Definition How it looks How it is named
Point An exact location with no size. A dot By one capital letter, such as A
Ray Part of a line with one endpoint that continues forever in one direction. One endpoint and one arrowhead By its endpoint first, then another point, such as AB
Line A straight path that continues forever in both directions. Two arrowheads By any two points on the line, such as AB or BA
Interval Part of a line between two endpoints. It does not continue forever. Two endpoints and no arrowheads By its two endpoints, such as AB or BA

Important: The order matters when naming a ray. Ray AB starts at A and travels through B. Ray BA starts at B and travels through A.

2. Endpoint Detective

Complete the table. The first row is an example.

Figure Number of endpoints Does it continue forever? Name of the figure
Ray AB 1 Yes, in one direction Ray AB
Point P
Interval CD
Line EF
Ray GH
Point J

3. Choose the Correct Answer

Circle or write the best answer.

  1. Which figure shows an exact location?

    • point
    • ray
    • line
    • interval

  2. Which figure has one endpoint and one arrowhead?

    • point
    • ray
    • line
    • interval

  3. Which figure continues forever in both directions?

    • point
    • ray
    • line
    • interval

  4. Which figure has two endpoints and no arrowheads?

    • point
    • ray
    • line
    • interval

  5. Which notation correctly names a point labeled R?

    • R
    • RR
    • point RR
    • ray R

  6. A ray begins at point M and passes through point N. How should it be named?

    • Ray MN
    • Ray NM
    • Line MN
    • Interval MN

  7. A line contains points S and T. Which names are possible?

    • Line ST only
    • Line TS only
    • Line ST and Line TS
    • Ray ST and Ray TS

4. Match the Vocabulary

Write the correct letter beside each description.

A. Point
B. Ray
C. Line
D. Interval

  1. _____ A straight path with no endpoints because it continues forever in both directions.

  2. _____ A part of a line with two endpoints.

  3. _____ An exact location shown by a dot.

  4. _____ A part of a line with one endpoint that continues forever in one direction.

5. Label and Name

Use the descriptions to label each figure. Then write its name.

  1. Draw a point and label it K.

Name: __

  1. Draw an interval with endpoints A and B.

Name: __

  1. Draw a ray that begins at C and passes through D.

Name: __

  1. Draw a line that passes through E and F.

Name: __

Reminder: Use a ruler. For a ray, place the arrowhead at the end away from the endpoint. For a line, place an arrowhead at both ends.

6. Read the Diagram

Study the text diagram below.

A •────────• B

  1. What type of figure is shown?
  1. How many endpoints does it have?
  1. Name the figure in both possible orders.

Now study this diagram.

C •──────────────→ D

  1. What type of figure is shown?
  1. Which point is the endpoint?
  1. Name the ray correctly.

Now study this diagram.

←──────── E ───────── F ────────→

  1. What type of figure is shown?
  1. Give two correct names for the figure.

7. Correct the Mistake

Each student has made one mistake. Rewrite the answer correctly.

  1. Mia says, “A ray that begins at X and passes through Y is Ray YX.”

Correct answer: __

  1. Leo says, “A line has one endpoint.”

Correct answer: __

  1. Sam says, “An interval continues forever in both directions.”

Correct answer: __

  1. Ava says, “A point is named using two capital letters.”

Correct answer: __

8. Real-World Geometry Hunt

Find or imagine an example of each figure in the real world. The example row shows how to complete the table.

Figure Real-world example Why it matches
Interval Edge of a ruler It has two endpoints and a fixed length.
Point
Ray
Line
Interval
Ray

9. Apply Your Knowledge

A road map shows a straight road from Town A through Town B. The road continues beyond Town B, but it begins at Town A.

  1. Which geometric figure best models the road?
  1. How would you name it if the road begins at A and passes through B?
  1. Explain why an interval would not be the best model.

10. Challenge Questions

  1. Can a ray be named in two different ways if only two labeled points are shown? Explain your answer.
  1. A line contains points P, Q, and R. Write four different correct names for the line.
  1. Explain the difference between an interval AB and a ray AB.
  1. Draw an interval, a ray, and a line so that all three pass through point Z. Label at least one other point on each figure.

Answer Key

2. Endpoint Detective

Figure Number of endpoints Does it continue forever? Name of the figure
Ray AB 1 Yes, in one direction Ray AB
Point P 0 No Point P
Interval CD 2 No Interval CD
Line EF 0 Yes, in both directions Line EF
Ray GH 1 Yes, in one direction Ray GH
Point J 0 No Point J

3. Choose the Correct Answer

  1. Point
  2. Ray
  3. Line
  4. Interval
  5. R
  6. Ray MN
  7. Line ST and Line TS

4. Match the Vocabulary

  1. C
  2. D
  3. A
  4. B

5. Label and Name

Answers may vary in appearance, but the labels and figures must match the instructions.

  1. A single dot labeled K. Name: Point K.
  2. A fixed path with endpoints A and B. Name: Interval AB or Interval BA.
  3. A ray beginning at C and passing through D. Name: Ray CD.
  4. A line passing through E and F with arrowheads at both ends. Name: Line EF or Line FE.

6. Read the Diagram

  1. Interval
  2. Two endpoints
  3. Interval AB and Interval BA
  4. Ray
  5. C
  6. Ray CD
  7. Line
  8. Line EF and Line FE

7. Correct the Mistake

  1. Ray XY
  2. A line has no endpoints; it continues forever in both directions.
  3. An interval has two endpoints and does not continue forever.
  4. A point is named using one capital letter.

8. Real-World Geometry Hunt

Answers may vary. Possible answers include:

  • Point: The location marked on a map. It is one exact location.
  • Ray: A beam of light from a flashlight. It begins at the flashlight and continues outward.
  • Line: A straight horizon line in a drawing. It can represent a path continuing in both directions.
  • Interval: The edge of a table. It has two endpoints and a fixed length.
  • Ray: A straight road beginning at an entrance and continuing in one direction. It has one starting point.

9. Apply Your Knowledge

  1. Ray
  2. Ray AB
  3. An interval has two endpoints and stops at both ends, but the road continues beyond Town B.

10. Challenge Questions

  1. No. If the ray begins at X and passes through Y, it must be named Ray XY. Ray YX begins at Y, so it is a different ray.

  2. Possible answers: Line PQ, Line QP, Line PR, Line RP, Line QR, or Line RQ. Any four are correct.

  3. Interval AB has two endpoints and a fixed length. Ray AB begins at A, passes through B, and continues forever beyond B.

  4. Answers will vary. Each drawing should show correct endpoints or arrowheads, include point Z, and use accurate labels.

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