If AB = QR,BC = PR,and CA = PQ,then | vedclass

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Question

(C) Given the side correspondences: $AB = QR$,$BC = PR$,and $CA = PQ$.To determine the congruence,we map the vertices based on the equal sides:$1$. Si

Vedclass · Accepted Answer

$	riangle CBA \cong 	riangle PRQ$

Vedclass · Answer

(C) Given the side correspondences: $AB = QR$,$BC = PR$,and $CA = PQ$.To determine the congruence,we map the vertices based on the equal sides:$1$. Since $AB = QR$,vertex $A$ corresponds to $Q$ and vertex $B$ corresponds to $R$.$2$. Since $BC = PR$,vertex $B$ corresponds to $P$ and vertex $C$ corresponds to $R$.$3$. Since $CA = PQ$,vertex $C$ corresponds to $P$ and vertex $A$ corresponds to $Q$.Matching the vertices: $A \leftrightarrow Q$,$B \leftrightarrow R$,and $C \leftrightarrow P$ is not correct based on the side $BC=PR$. Let's re-evaluate:$A$ corresponds to $Q$,$B$ corresponds to $R$,and $C$ corresponds to $P$.Looking at the sides: $AB$ corresponds to $QR$,$BC$ corresponds to $RP$,and $CA$ corresponds to $PQ$.Thus,$	riangle ABC \cong 	riangle QRP$.Re-checking the options provided:If $AB=QR, BC=PR, CA=PQ$,then the correspondence is $A \leftrightarrow Q, B \leftrightarrow R, C \leftrightarrow P$.Therefore,$	riangle CBA \cong 	riangle PRQ$ is correct because $CB=PR, BA=RQ, AC=QP$.

If $AB = QR$,$BC = PR$,and $CA = PQ$,then

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