Question

Which of the following statements is NOT true for perpendicular bisectors?

Perpendicular bisectors split the side of the triangle into two congruent segments.


Perpendicular bisectors form a right angle at the vertex of the triangle.


Perpendicular bisectors form a right angle with the side of the triangle it is bisecting.


Perpendicular bisectors intersect the side of the triangle at the midpoint of the side.

Answer 1

The incorrect statement about perpendicular bisectors is that they form a right angle at the vertex of the triangle. This is not generally true, as perpendicular bisectors bisect the side of a triangle and create a right angle with the side they are bisecting.

Step-by-step explanation:

The statement that is NOT true for perpendicular bisectors is: Perpendicular bisectors form a right angle at the vertex of the triangle. In fact, perpendicular bisectors are lines or segments that meet the side of the triangle at a right angle (90°) and bisect it, meaning they divide the side into two congruent segments. However, they do not generally form a right angle at the triangle's vertex unless the vertex is on the side being bisected, which is a special case, not a general property of perpendicular bisectors.

Here are some true statements about perpendicular bisectors:

• Perpendicular bisectors split the side of a triangle into two congruent segments.
• Perpendicular bisectors form a right angle with the side of the triangle they are bisecting.
• Perpendicular bisectors intersect the side of the triangle at the midpoint of the side.