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By using the SAS (Side-Angle-Side) Congruence Theorem, we have proved that triangle WXZ is congruent to triangle YZX
How to prove that triangle WXZ is congruent to triangle YZX
To prove that triangle WXZ is congruent to triangle YZX using the SAS (Side-Angle-Side) Congruence Theorem, show that they have the same measures for two sides and the included angle.
To prove:
Triangle WXZ ≅ Triangle YZX.
Proof:
Given: Triangle WXZ and triangle YZX.
WX = YZ (Given)
∠WXZ = ∠YZX (Given)
XZ = XZ (Common side)
By SAS Congruence Theorem, triangle WXZ ≅ Triangle YZX.
Thus, we have proved that triangle WXZ is congruent to triangle YZX using the SAS Congruence Theorem, where the two sides WX = YZ and the included angle ∠WXZ = ∠YZX.
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