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 375 ft, CB equals 325 ft, and GB equals 425 ft, point E is outside parallelogram and segments BE and PE form triangle BPE where BP equals 225 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)

Step-by-step explanation:

Part A: ΔGCB ~ ΔEPB

Part B: ∠GBC and ∠EBP are vertical angles, and therefore congruent.

∠GCB and ∠EPB are alternate interior angles, and therefore congruent.

So ΔGCB and ΔEPB are similar by AA similarity.

Part C:

BE / BP = BG / BC

BE / 225 = 425 / 325

BE ≈ 294

PE / BP = CG / BC

PE / 225 = 375 / 325

PE ≈ 260

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (