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Mathematics

Grade9

Easy

Question

In fig., if AB = AC and PB = QC, then by which congruence criterion is PBC ≅ QCB

SSS
RHS
ASA
SAS

hint Hint:

In this question we have to determine the congruency criteria for $increment P B C space a n d space increment Q C B$ .For this it is given that PB=QC , AB=AC so the angles opposite to the sides would also be equal, lastly BC =CB which is common, now using this we can prove the two triangles congruent and determine the criteria.

The correct answer is: SAS

In fig., if AB = AC and PB = QC, then congruence criterion for PBC ≅ QCB is SAS.

$I n increment P B C space a n d increment Q C B comma P B equals Q C left parenthesis g i v e n right parenthesis angle P B C equals angle Q C B left parenthesis a n g l e s space o p p o s i t e space t o space t h e space e q u a l space s i d e s space A B space a n d space A C space a r e space e q u a l right parenthesis B C equals C B left parenthesis c o m m o n right parenthesis S o comma increment P B C approximately equal to increment Q C B left parenthesis space b y space S A S right parenthesis$

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