Question : If m$\angle$C = m$\angle$Z and AC = XZ, which of the following conditions is necessary for ΔABC and ΔXYZ to be congruent?
Option 1: AB = AC
Option 2: BC = YZ
Option 3: AB = XY
Option 4: BC = AB
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Correct Answer: BC = YZ
Solution : We have, m$\angle$C = m$\angle$Z and AC = XZ. If BC = YZ, then by SAS congruency rule ΔABC and ΔXYZ are congruent. Hence, the correct answer is BC = YZ.
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Question : ΔABC and ΔDEF are congruent respectively. If AB = 6 = DE, BC = 8 = EF and $\angle$B = 30°, then $\angle$D + $\angle$C _________.
Question : In $\triangle$ABC and $\triangle$PQR, AB = PQ and $\angle$B = $\angle$Q. The two triangles are congruent by SAS criteria if:
Question : In an isosceles $\triangle ABC$, $AB = AC$, $XY || BC$. If $\angle A=30°$, then $\angle BXY$?
Question : If in $\triangle$ XYZ, XY = 4 cm and XZ = 5 cm and Q is a point on YZ such that XQ bisects $\angle X$, then YQ : QZ is:
Question : If $x+y+z=0$, then what is the value of $\frac{x^2}{yz}+\frac{y^2}{xz}+\frac{z^2}{xy}$?
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