Question

In the figure given below, if $BC=QR,AB=PRandAC=PQ$ then the correct statement is

• A. $△ABC\cong △PQR$
• B. $△ABC\cong △PRQ$
• C. $△ABC\cong △RPQ$
• D. $△ABC\cong △RQP$

Answer 1

The correct option is B

$△ABC\cong △PRQ$

In $△ABCand△PRQ$

Given $BC=QR$ (Side)

$AB=PR$ (Side)

$AC=PQ$ (Side)

If all the three sides of one triangle are equal to the three sides of another triangle then the two triangles are said to be congruent.

Triangle follows $sss$ the criterion for congruence

Step 1: Explanation for correct answer

Option B given $△ABC\cong △PRQ$

From this, we conclude $AB=PR,BC=RQandAC=PQ$

which is given in the question

Hence, Option B is correct

Step 2: Explanation for incorrect answer

Option A given $△ABC\cong △PQR$

From this, we conclude that the side $AB=PQ,BC=QRandAC=PR$

But it is given $AB=PRandAC=PQ$ which is not possible

Hence, Option A is incorrect

Option C given $△ABC\cong △RPQ$

From this, we conclude $AB=PR,BC=PQandAC=RQ$

But it is given $BC=QRandAC=PQ$ Which is not possible

Hence,Option C is not correct

Option D given $△ABC\cong △RPQ$

From this, we conclude $AB=PR,BC=PQandAC=RQ$

but is given which is not possible

Hence, option D is not correct

Hence, Option B is correct.