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Unit8–HW#4
Per____________
AASimilarityTheorem
1. If  ABC ~ XYZ , mA  50 and mC  30 ,whatisthe mX ? 2. Determinethevalueofxif  ABC ~ EFG 3. If  RST ~ ABC , mA  x 2  8 x, mC  4 x  5, and mR  5 x  30, find mC. For#4‐6,decideifthetrianglesaresimilar.Justifyyouranswer.
4.  ABC ~ ADE 5.
6.
7. Given: AC  ED, AB  EF , and CB  DF Prove:a)  ABC ~ EFD AB BC
b)

EF FD
8. Given:Disthemidpointof AB ,Fisthemidpointof BC ,andEisthemidpointof AC .
Prove:  ABC ~ DBF C D 9. Given: DE  AB C isarightangle
A E Prove:a)  ABC ~ DBE b)
BC AC

BE DE
10. Given:rectangleWXYZ, WY  ZA Prove:
a) WPZ WZY b) WPZ YPA Z Y P A W X B