Given: ∠XWY ≅ ∠ZYW ∠X and ∠Z are both right angles.
Prove: YXW ≅ WZY
A. Given: ∠XWY≅∠ZYW...
Mathematics, 06.12.2020 23:50 stefan19367
Given: ∠XWY ≅ ∠ZYW ∠X and ∠Z are both right angles.
Prove: YXW ≅ WZY
A. Given: ∠XWY≅∠ZYW , ∠X and ∠Z are both right angles.
∠X≅∠Z ; they have the same measure.
∠XYW≅∠ZWY ; alternate interior angles of parallel lines.
WY¯¯¯¯¯¯¯≅WY¯¯¯¯¯¯¯ ; Reflexive Property of Congruence.
YXW≅WZY by SAS
B. Given: ∠XWY≅∠ZYW , ∠X and ∠Z are both right angles.
∠X≅∠Z ; they have the same measure.
WY¯¯¯¯¯¯¯≅WY¯¯¯¯¯¯¯ ; Reflexive Property of Congruence.
YXW≅WZY by AAS
C. Given: ∠XWY≅∠ZYW , ∠X and ∠Z are both right angles.
∠X≅∠Z ; they have the same measure.
WY¯¯¯¯¯¯¯≅WY¯¯¯¯¯¯¯ ; Reflexive Property of Congruence.
YXW≅WZY by SAS
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