17. Given:FJ,E HECGHProve:EFHJProof:We are given that FJ,E H,and ECGH. By the Reflexive Property,CGCG. Segment addition results in EGECCGand CHCGGH. By the definitionof congruence,ECGHand CGCG. Substituteto find EGCH. By AAS,EFG HJC. ByCPCTC,EFHJ.18. Given:TXSYTXYTSYProve:TSY YXTProof:Since TXSY,YTX TYSbyAlternate Interior Angles Theorem.TYTYbythe Reflexive Property. Given TXY TSY,TSY YXTby AAS.19. Given:MYT NYTMTY NTYProve:RYM RYNProof:20. Given:BMIKMTIPPTProve:IPKTPBProof:21. Explore:We are given the measurement of oneside of each triangle. We need to determinewhether two triangles are congruent.Plan:CDGH, because the segments have thesame measure.CFD HFGbecause verticalangles are congruent. Since Fis the midpoint ofDG,DFFG.Solve:We are given information about side-side-angle (SSA). This is not a method to prove twotriangles congruent.Examine:Use a compass, protractor, and ruler todraw a triangle with the given measurements. For
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