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 $\triangle PQR,$ if $\angle R > \angle Q,$ then

If $\Delta ABC \cong \Delta RPQ,$ then which side of $\Delta PQR$ is equal to side $AB$ of $\Delta ABC$?

In $\Delta PQR$,$\angle Q = \angle R$ and $PQ = 6.5 \, cm$,then find $PR$. (in $, cm$)

In $\Delta ABC$,$AB = AC$. If $\angle A = 50^{\circ}$,then find $\angle B$ and $\angle C$.

Prove that the medians of an equilateral triangle are equal.

Vedclass Test Series

Exam Paper Generator

Online Exam Module