Given: WX¯¯¯¯¯¯¯≅ZY¯¯¯¯¯¯,WY¯¯¯¯¯¯¯≅ZX¯¯¯¯ ¯¯
Prove: ∠W≅∠Z
A. Given: WX¯¯¯¯¯¯¯≅ZY¯¯¯¯¯...
Mathematics, 06.12.2020 23:50 ameera1973
Given: WX¯¯¯¯¯¯¯≅ZY¯¯¯¯¯¯,WY¯¯¯¯¯¯¯≅ZX¯¯¯¯ ¯¯
Prove: ∠W≅∠Z
A. Given: WX¯¯¯¯¯¯¯≅ZY¯¯¯¯¯¯ and WY¯¯¯¯¯¯¯≅ZX¯¯¯¯¯¯ .
XY¯¯¯¯¯¯≅XY¯¯¯¯¯¯ ; Reflexive Property of Congruence
ΔWXY≅ΔZYX ; SSS Postulate
∠W≅∠Z ; corresponding parts of congruent triangles
B. Given: WX¯¯¯¯¯¯¯≅ZY¯¯¯¯¯¯ and WY¯¯¯¯¯¯¯≅ZX¯¯¯¯¯¯
∠WYZ≅∠YZX ; alternate interior angles of parallel sides
ΔWXY≅ΔZYX ; SAS Postulate
∠W≅∠Z ; corresponding parts of congruent triangles
C. Given: WX¯¯¯¯¯¯¯≅ZY¯¯¯¯¯¯ and WY¯¯¯¯¯¯¯≅ZX¯¯¯¯¯¯
XY¯¯¯¯¯¯≅XY¯¯¯¯¯¯ ; Reflexive Property of Congruence
ΔWXY≅ΔZYX ; SAS Postulate
∠W≅∠Z ; corresponding parts of congruent triangles
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