Question

Draw a perpendicular bisector of a line segment having length of 9 cm.​

Answer 1

Perpendicular Bisector:

• A perpendicular bisector is a segment that divides a given line segment into two equal parts.
• The point where the perpendicular bisector intersects the line segment, is the midpoint of the line segment.
• The perpendicular bisector makes a right angle with the line segment. Hence, it is called a perpendicular bisector.

Steps to draw a perpendicular bisector:

Step 1: Draw a line segment of length 9cm.

Step 2: Using a compass, take one end of the line segment as the center.

Step 3: Taking the width of the compass greater than half the length of the line segment, draw arcs above and below the line segment.

Step 4: Taking the other end of the line segment as the center, repeat step 3.

Step 5: Mark the points where the arcs intersect above and below the line segment.

Step 6: Draw a line joining the two points.

This line is the perpendicular bisector of the line segment.

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Answer 2

Answer: Steps to draw a perpendicular bisector is given below.

Step-by-step explanation:

Given : Length of line segment is 9 cm.

To Find : Draw a perpendicular bisector of a line segment which measures 9 cm.​

Concept : A perpendicular bisector is a line segment that divides a given line into two equal parts. The point where the perpendicular bisector meets the line segment,  it is the midpoint of the line segment, i.e., both halves of lines are equal. The perpendicular bisector also makes a right angle with the line segment. Hence, it is called a perpendicular bisector of the line segment.

Solution :

Steps to draw a perpendicular bisector of a line segment of 9 cm:

• Step 1: Draw a line segment of length 9 cm using a ruler.

• Step 2: By the help of compass, take one end of the line segment as the center.

• Step 3: Taking the width of the compass greater than half the length of the line segment given, draw arcs above and below the line segment.

• Step 4: Take the other end of the line segment as the center, and then repeat step 3.

• Step 5: Mark the points where the arcs intersect each other above and below the line segment.

• Step 6: Draw a line which joins the two points.

This drawn line is the perpendicular bisector of the line segment.

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