Angle Bisector Worksheet

Angle Bisector Worksheet

Carefully read each question and follow the instructions. Show all your work for full credit.

1. Define an angle bisector in your own words.

2. If ray BD bisects angle ABC, and m∠ABD = 35°, what is m∠ABC?

3. The angle bisector theorem states that if a point is on the bisector of an angle, then it is   from the two sides of the angle.

4. To construct an angle bisector, you use a compass to draw arcs from the   of the angle.

5. In the diagram below, ray QS bisects ∠PQR. If m∠PQS = (3x + 10)° and m∠SQR = (x + 40)°, find the value of x and m∠PQR.

6. Every triangle has exactly three angle bisectors.

7. Describe the steps to construct the bisector of a given angle using only a compass and straightedge.