Question

Begin with isosceles ∆PRQ with ∠P ≅ ∠Q. Construct a bisector of ∠PRQ.

A) Perpendicular bisector
B) Angle bisector
C) Median
D) Altitude

Answer 1

The angle bisector should be constructed in an isosceles triangle with congruent base angles.

Step-by-step explanation:

The answer to the question is B) Angle bisector.

To construct the angle bisector of ∠PRQ in the isosceles triangle ∆PRQ, follow these steps:

1. Draw the triangle ∆PRQ with ∠P ≅ ∠Q.
2. Use a compass to find the midpoint of the side PQ and mark it as M.
3. Draw a line from vertex R to the midpoint M, creating the bisector of ∠PRQ.

The line RM is the angle bisector of ∠PRQ.