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Mathematics

Grade9

Easy

Question

Complete the congruence statement.
$capital delta O G D approximately equal to capital delta$ ____.

CRP
PCR
RPC
PRC

hint Hint:

In two triangles, if the three sides of one triangle are equal to the corresponding three sides (SSS) of the other triangle, then the two triangles are congruent. Also, check the order of Congruence to match with diagram and property.

The correct answer is: PRC

As per diagram
OG = PR (the given notation in the diagram indicates both sides are equal.)
GD = RC (the given notation in the diagram indicates both sides are equal.)
DO = CP (the given notation in the diagram indicates both sides are equal.)
Here the three sides of one triangle are equal to the corresponding three sides (SSS) of the other triangle. By SSS rule ,
ΔOGD ≅ ΔPRC ( here, the order is preserved )
So, ΔOGD ≅ ΔPRC

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