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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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

Similar Questions

In triangles $ABC$ and $PQR$,$\angle A = \angle Q$ and $\angle B = \angle R$. Which side of $\triangle PQR$ should be equal to side $AB$ of $\triangle ABC$ so that the two triangles are congruent? Give reason for your answer.

In the given figure,$AB = AC$ and $BP = CQ$. Prove that $\Delta APQ$ is an isosceles triangle.

$ABC$ is an isosceles triangle with $AB = AC$. $BD$ and $CE$ are its two medians. Show that $BD = CE$.

Two lines $l$ and $m$ intersect at the point $O$ and $P$ is a point on a line $n$ passing through the point $O$ such that $P$ is equidistant from $l$ and $m$. Prove that $n$ is the bisector of the angle formed by $l$ and $m$.

In triangles $ABC$ and $PQR$,$\angle A = \angle Q$ and $\angle B = \angle R$. Which side of $\triangle PQR$ should be equal to side $BC$ of $\triangle ABC$ so that the two triangles are congruent? Give reason for your answer.

Vedclass Test Series

Exam Paper Generator

Online Exam Module