#### Solved Examples and Worksheet for Points, Lines, Line Segments, Rays and Angles

Q1"An angle is formed when two rays or two line segments meet at a common point." Is this statement true?

A. Yes
B. No

Step: 1
An angle is formed only when two rays or two line segments meet at a common point.
Q2"The number of angles in a closed plane figure made of line segments is equal to the number of sides of the figure." State if the statement is true or false.

A. False
B. True

Step: 1
The number of angles in a closed plane figure made of line segments is equal to the number of sides of the figure.
Step: 2
The statement is true.
Q3How many line segments are there in the figure? A. 7
B. 0
C. 5
D. 6

Step: 1
A line that has fixed points and has two end points is called a line segment.
Step: 2
There are 6 line segments in the figure AB, BC, CD, DE, EF, FA.
Q4How many line segments are there in the figure? A. 3
B. 4
C. 2
D. 5

Step: 1
A line that has a fixed length and has two end points is called a line segment.
Step: 2
In the figure, there are five line segments, AB, BC, CD, DE, and EA.
Q5How many line segments does the figure have? A. 6
B. 9
C. 8
D. 7

Step: 1
A line that has a fixed length and has two end points is called a line segment.
Step: 2
The given figure is an heptagon which is made up of seven line segments.
Q6Which of the lines represents a ray? A. Figure 3
B. Figure 1
C. Figure 2

Step: 1
A ray is part of a line, which begins at a fixed end point.
Step: 2
So, a ray has one fixed end and the other end can be extended to any length.
Step: 3
Among the figures, Figure 1 has only one end point. So, it is a ray.
Correct Answer is :   Figure 1
Q7Identify a ray on the figure shown. A. QR¯
B. AB
C. PR¯
D. QA

Step: 1
A ray is defined as a line starting at some point of the plane and proceeding outwards.
Step: 2
In the figure, QA is a line starting at point Q and proceeding outwards.
Step: 3
So, QA is a ray in the figure.
Q8Which among the figures is a line? A. Figure 1
B. Figure 3
C. Figure 4
D. Figure 2

Step: 1
A straight line with no fixed points is called a line.
Step: 2
Among the figures, GH has no fixed points.
Step: 3
So, Figure 1 is the line.
Correct Answer is :   Figure 1
Q9How many line segments are there in the figure? A. 7
B. 10
C. 8
D. 6

Step: 1
A straight line with two fixed points is called a line segment.
Step: 2
In the given figure, there are 8 line segments.
Q10Identify a line in the figure shown. A. PB&harr;
B. QB&harr;
C. QR&harr;
D. AB&harr;

Step: 1
A line is a straight path that is endless in both directions.
Step: 2
In the figure, AB is a line, PQ, QR, and PR are the line segments, and PB, QB, and RB are the rays on the line AB.
Step: 3
So, AB&harr;     is a line in the figure shown.