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What Similarity Statement Can You Write

Question: 1. What similarity statement can you write relating the three triangles in the diagram below?

Answer: A.ΔUVW ~ ΔUWT ~ ΔWVT

Question: 2. What are the values of A and B?

Answer: A. a=9/2 b=15/2

Question: What is the value of x?

Answer: A. 5

Question: Plots of land between two roads are laid out according to the boundaries shown. The boundaries between the two roads are parallel. What is the length of Plot 3 along Cheshire Road?

Answer: A. 46 2/3 yards

Question: An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter.

Answer: D. 8.3 cm 5.8 cm