Question

Construct a perpendicular bisector for the line segment of measure 12 cm, with neat labeling and steps of construction

Answer 1

Answer:

Bisecting lines :-

When we construct, or draw, geometric figures, we often need to bisect lines or angles.Bisect means to cut something into two equal parts. There are different ways to bisect a line segment.

The small marks on AF and FB show that AF and FB are equal.

CD is called a bisector because it bisects AB. AF = FB

Read through the following steps.

Step 1

Place the compass on one endpoint of the line segment (point A). Draw an arc above and below the line. (Notice that all the points on the arc aboveand below the line are the same distance from point A.)

Step 2

Without changing the compass width, place the compass on point B. Draw an arc above and below the line so that the arcs cross the first two. (The two points where the arcs cross are the same distance away from point A and from point B.)

Step 3

Use a ruler to join the points where the arcs intersect.This line segment (CD) is the bisector of AB.

Intersect means to cross or meet.

A perpendicular is a line that meets another line at an angle of 90°..