It is given that $\triangle ABC \cong \triangle RPQ$. Is it true to say that $BC = QR$? Why?
(B) It is false to say that $BC = QR$.
Since $\triangle ABC \cong \triangle RPQ$,the corresponding parts of congruent triangles are equal $(CPCT)$.
By matching the vertices,we have $A \leftrightarrow R$,$B \leftrightarrow P$,and $C \leftrightarrow Q$.
Therefore,the side $BC$ corresponds to the side $PQ$.
Thus,$BC = PQ$,not $QR$.
Since $\triangle ABC \cong \triangle RPQ$,the corresponding parts of congruent triangles are equal $(CPCT)$.
By matching the vertices,we have $A \leftrightarrow R$,$B \leftrightarrow P$,and $C \leftrightarrow Q$.
Therefore,the side $BC$ corresponds to the side $PQ$.
Thus,$BC = PQ$,not $QR$.
Explore More
Similar Questions
$ABCD$ is a quadrilateral such that $AB = AD$ and $CB = CD$. Prove that $AC$ is the perpendicular bisector of $BD$.
Difficult
View SolutionIn $\Delta XYZ$,$\angle Y = 90^{\circ}$ and $XY = YZ$,then $\angle X = \dots$ (in $^{\circ}$)
Easy
View SolutionIn rectangle $ABCD$,$E$ is the midpoint of $BC$. Prove that $AE = DE$.
Medium
View SolutionPoint $M$ lies on the perpendicular bisector of $PQ$. Also $M$ does not lie on $PQ$. Prove that $M$ is equidistant from $P$ and $Q$.
Medium
View Solution$AB$ and $CD$ are the smallest and largest sides of a quadrilateral $ABCD$. Determine which is greater,$\angle B$ or $\angle D$.
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo