Lines, Ray and Segment Worksheet | Grade1to6.com - Free Printable

I will solve this Grade 5 Maths worksheet on "Line, Ray and Segment" by identifying each figure correctly based on geometric definitions.

Part 1: Tick (√) the correct answer.

I need to identify whether each diagram represents a Ray, a Line, or a Line Segment.

- Ray: A part of a line that has one endpoint and extends infinitely in one direction. It is named with the endpoint first, then another point on the ray (e.g., Ray AB, where A is the endpoint).
- Line: A straight path that extends infinitely in both directions. It is named using any two points on it (e.g., Line AB).
- Line Segment: A part of a line that has two endpoints. It is named using its two endpoints (e.g., Line Segment AB).

Let's analyze each question:

Question 1:
The diagram shows a straight figure with two distinct endpoints labeled A and B. This fits the definition of a Line Segment.
- Correct Answer: c. Line Segment AB

Question 2:
The diagram shows a straight figure with arrows at both ends, passing through points G and H. The arrows indicate it extends infinitely in both directions. This is a Line.
- Correct Answer: b. Line GH

Question 3:
The diagram shows a curved figure with endpoints M and N. Since it is not straight, it is none of the options (Ray, Line, or Line Segment). All three options are for straight figures. This appears to be an error in the worksheet, as none of the choices are correct for a curve. However, if we must choose the closest, it is still incorrect. For the purpose of this exercise, I will note that none of the answers are correct.

Question 4:
The diagram shows a straight figure with an arrow at one end (at S) and a point at the other (R), extending infinitely in the direction of S. This is a Ray, and since R is the endpoint, it should be named Ray RS.
- Correct Answer: a. Ray RS

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Part 2: Answer the following.

Question 1: Find which one is line?

I need to find the figure that represents a line (extends infinitely in both directions).

- (i): Has arrows at both ends. This is a Line.
- (ii): Has two endpoints. This is a Line Segment.
- (iii): Has an arrow at one end and an endpoint at the other. This is a Ray.
- (iv): Has two endpoints. This is a Line Segment.

- Correct Answer: (i)

Question 2: Find which one is ray?

I need to find the figure that represents a ray (one endpoint, extends infinitely in one direction).

- (i): Has arrows at both ends. This is a Line.
- (ii): Has an arrow at one end and an endpoint at the other. This is a Ray.
- (iii): Has an arrow at one end and an endpoint at the other. This is also a Ray.
- (iv): Is a curve with arrows. This is not a ray.

Both (ii) and (iii) are rays. However, the question asks to "find which one," implying a single answer. Looking closely, both are valid rays. In standard multiple-choice questions like this, sometimes only one is intended. Since both are correct, I will select (ii) as it is the first correct option presented.

- Correct Answer: (ii)

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Final Answers:

Part 1:
1. c. Line Segment AB
2. b. Line GH
3. *None of the options are correct (it is a curve, not a straight figure).*
4. a. Ray RS

Part 2:
1. (i)
2. (ii)