Angle Bisector Worksheet
A Grade 11 Math worksheet focusing on understanding and applying angle bisector theorems and properties in geometry problems.
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Angle Bisector Worksheet
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Define an angle bisector and describe its key property.
2. In triangle ABC, if AD is the angle bisector of angle A, which of the following statements is true according to the Angle Bisector Theorem?
AB/AC = BD/CD
BD/AD = CD/AD
AB/BD = AC/CD
AD/BC = AB/AC
3. The angle bisector of a triangle divides the opposite side into two segments that are to the other two sides of the triangle.
4. In triangle PQR, QS is the angle bisector of angle PQR. If PQ = 10, QR = 15, and PR = 20, find the lengths of PS and SR.
5. The angle bisectors of a triangle intersect at a point called the circumcenter.
True
False
6. Construct the angle bisector of an angle using a compass and straightedge. Briefly explain the steps involved.