Question

If two triangles $△PQR\cong △DEF$ by SSS postulate of congruency, then which of the following condition is required necessarily?

• A. $PQ=DE$, $QR=EF$ and $PR=DF$
• B. $PQ=EF$, $QR=DE$ and $\angle P=\angle Q$
• C. $\angle P=\angle D$, $QR=DE$ and $PR=EF$
• D. None of the above.

Answer 1

The correct option is A $PQ=DE$, $QR=EF$ and $PR=DF$

As $△PQR\cong △DEF$, by SSS postulate, so we can say that vertex $P$ congruent to $D$, $Q$ congruent to $E$ and $R$ congruent to $F$.

And, for SSS congruent condition, the sides of one triangle is equal to the corresponding three sides of other triangle.

Hence, $PQ=DE$, $QR=EF$ and $PR=DF$ is the required condition.