Question
Download Solution PDFIf m∠C = m∠Z and AC = XZ, then which of the following conditions is necessary for ΔABC and ΔXYZ to be congruent?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
In congruent triangles ΔABC & ΔXYZ, If m∠C = m∠Z and AC = XZ, then,
According to the side-angle-side postulate, the two sides and the involved angle of the two triangles should be equal for congruency,
⇒ ∠ABC = ∠XYZ & AB = XY
Also,
⇒ ∠ACB = ∠YZX
So, BC = YZ
∴ The correct statement is BC = YZ
Mistake Points
Please note that According to the side-angle-side postulate, the two sides and the involved angle of the two triangles should be equal for congruency.
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