Question

Joaquin is constructing the perpendicular bisector of line AB. What should be his first step?

Answer 1

When constructing perpendicular bisector, the following steps are followed;
i. Place the compass at one end of the segment
ii. Adjust the compass and draw the arcs above and below the line
iii. Draw the arcs from the other end of the line
iv. Place the ruler where the arcs  cross and draw the line segment

Answer 2

The first step is to position our compass at A, using any convenient radius, then bisect an arc at A, the same must be done at B.

What is a perpendicular bisector?

A perpendicular bisector is a perpendicular line that cuts a straight line into two equal halves.

Let us assume we have a straight line from A to B, the first step we need to consider when constructing a perpendicular bisector is to:

• Position our compass at A, using any convenient radius to bisect an arc, the same must be done at B.
• The arc is to be drawn at the top and the bottom of the straight line
• By placing a ruler at the point when the arcs met at the top and at the bottom, a straight line is drawn to show the perpendicular bisector.

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