Question

The following design shows a structure that supports the roof of a house. It is in the shape of a triangle.

Answer 1

We have the following triangle:

And we need to find the figure which is the perpendicular bisector of the triangle ABC.

1. To find the perpendicular bisector, we need to remember that a perpendicular bisector of a triangle has two properties (at least):

• It divides one of the sides of the triangle into two congruent parts.

,

• It forms an angle of 90 degrees (or a right angle) to the side it divides into two congruent parts.

2. Then if we see the triangle ABC we can determine that:

3. Therefore, we have the figure which is a perpendicular bisector of triangle ABC is the side (or segment) AD.

Hence, in summary, the figure which is a perpendicular bisector of triangle ABC is the side (or segment) AD (last option).