Rochester City School District
Name ______________________________Module 2 Lesson 18Triangle Angle Bisector TheoremLearning Target: I can use the triangle angle bisector theorem to solve problems.Opening Exercises1. What is an angle bisector?2. Solve for x.Triangle Angle Bisector Theorem1. Find PS and SR.2. Find AC and DC.3. The sides of a triangle are 8, 12, and 15. An angle bisector meets the side of length 15. Find the lengths x and y. Explain how you arrived at your answers.4. The angle bisector of an angle splits the opposite side of a triangle into lengths 5 and 6. The perimeter of the triangle is 33. Find the lengths of the other two sides.Name ______________________________Module 2 Lesson 18Triangle Angle Bisector TheoremProblem Set1. Find RQ.2. Find XZ.3. Solve for x.4. The sides of a triangle are 1012, 1612, and 9. An angle bisector meets the side of length 9. Find the lengths x and y.5. The perimeter of triangle LMN is 32 cm. NX is the angle bisector of angle N, LX=3 cm, and XM=5 cm. Find LN and MN.Name ______________________________Module 2 Lesson 18Triangle Angle Bisector TheoremExit Ticket1. The sides of a triangle have lengths of 12, 16, and 21. An angle bisector meets the side of length 21. Find the lengths ? and ?. 2. The perimeter of ?UVW is 2212. WZ bisects ∠UVW, UZ=2, and VZ=212. Find UW and VW. ................
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