In Delta PQR and Delta XYZ,if angle P = angle | vedclass

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

Question

(C) Given that in $\Delta PQR$ and $\Delta XYZ$:$1$. $\angle P = \angle Z$$2$. $\angle Q = \angle Y$$3$. $PQ = YZ$By the $ASA$ (Angle-Side-Angle) cong

Vedclass · Accepted Answer

$ZYX$

Vedclass · Answer

(C) Given that in $\Delta PQR$ and $\Delta XYZ$:$1$. $\angle P = \angle Z$$2$. $\angle Q = \angle Y$$3$. $PQ = YZ$By the $ASA$ (Angle-Side-Angle) congruence criterion,the correspondence must match the vertices in the same order.Since $\angle P$ corresponds to $\angle Z$,$\angle Q$ corresponds to $\angle Y$,and the side $PQ$ corresponds to $ZY$ (or $YZ$),the remaining vertex $R$ must correspond to $X$.Therefore,the correspondence is $P \leftrightarrow Z$,$Q \leftrightarrow Y$,and $R \leftrightarrow X$.Thus,$\Delta PQR \cong \Delta ZYX$.

In $\Delta PQR$ and $\Delta XYZ$,if $\angle P = \angle Z$,$\angle Q = \angle Y$,and $PQ = YZ$,then $\Delta PQR \cong \Delta \ldots \ldots \ldots$

Similar Questions

In quadrilateral $PQRS$,$PQ = PS$ and $QR = RS$. Prove that diagonal $PR$ bisects $\angle QPS$ as well as $\angle QRS$.

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.

$CDE$ is an equilateral triangle formed on side $CD$ of a square $ABCD$ (see figure). Show that $\triangle ADE \cong \triangle BCE$.

Line-segment $AB$ is parallel to another line-segment $CD$. $O$ is the mid-point of $AD$ (see Fig). Show that $(i)$ $\Delta AOB \cong \Delta DOC$ $(ii)$ $O$ is also the mid-point of $BC$.

$l$ and $m$ are two parallel lines intersected by another pair of parallel lines $p$ and $q$ (see Fig). Show that $\Delta ABC \cong \Delta CDA$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module