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idc23
idc23
12.10.2020 • 
Mathematics

If a series of rigid transformations maps ∠E onto ∠B where ∠E is congruent to ∠B, then which of the following statements is true? triangles ABC and FDE, in which angles A and D are right angles ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations segment DE ~ segment AB because corresponding parts of similar triangles are similar ΔABC ~ ΔFDE because of the AA similarity postulate segment DE ~ segment AB because of the definition of similarity in terms of similarity transformations Question 9 (Essay Worth 10 points) (03.06 HC) Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC. The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC. Part A: Identify a pair of similar triangles. (2 points) Part B: Explain how you know the triangles from Part A are similar. (4 points) Part C: If DB = 9 and DC = 4, find the length of segment DA. Show your work. (4 points) Question 10 (Essay Worth 10 points) (03.06 MC) The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a parallelogram. Parallelogram GRPC with point B between C and P forming triangle GCB where GC equals 350 ft, CB equals 300 ft, and GB equals 400 ft, point E is outside parallelogram and segments BE and PE form triangle BPE where BP equals 200 ft. Part A: Identify a pair of similar triangles. (2 points) Part B: Explain how you know the triangles from Part A are similar. (4 points) Part C: Find the distance from B to E and from P to E. Show your work. (4 points) You must check the box below prior to submitting your exam! Check this box to indicate you are ready to submit your exam Explorer Toolbox Workload My Folders FDK131.10

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