(C) Given the ratio of sides: $\frac{PQ}{YZ} = \frac{QR}{XZ} = \frac{RP}{XY}$.By the $SSS$ (Side-Side-Side) similarity criterion,the correspondence mu

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

(C) Given the ratio of sides: $\frac{PQ}{YZ} = \frac{QR}{XZ} = \frac{RP}{XY}$.By the $SSS$ (Side-Side-Side) similarity criterion,the correspondence must match the vertices in the order of the sides.Comparing the sides:$PQ$ corresponds to $YZ$$QR$ corresponds to $ZX$$RP$ corresponds to $XY$Thus,the vertices $P, Q, R$ correspond to $Y, Z, X$ respectively.Therefore,$\Delta PQR \sim \Delta YZX$.

Class 10 Mathematics Triangles Mix Examples - Triangles

Medium

In $\Delta PQR$ and $\Delta XYZ$,$\frac{PQ}{YZ} = \frac{QR}{XZ} = \frac{RP}{XY}$. Which correspondence between them is a similarity?

A
$\Delta PQR \sim \Delta XYZ$
B
$\Delta PQR \sim \Delta ZYX$
C
$\Delta PQR \sim \Delta YZX$
D
$\Delta PQR \sim \Delta XZY$

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Triangles

Subtopic

Mix Examples - Triangles

In quadrilateral $ABCD$,$P$ is the midpoint of $\overline{BC}$. If $\overline{DP}$ produced intersects $\overline{AB}$ produced at $Q$,prove that $AB = 2CD$ given that $ABCD$ is a parallelogram.

Medium

View Solution

In $\Delta ABC$,$m \angle A = 90^{\circ}$ and $\overline{AD}$ is an altitude to the hypotenuse $BC$. Then,$AD^{2} = \ldots$

Medium

View Solution

In $\Delta ABC$,$AB = 3$,$BC = 6$,and $AC = 8$. In $\Delta PQR$,$PQ = 13.6$,$QR = 10.2$,and $PR = 5.1$. Which correspondence between $\Delta ABC$ and $\Delta PQR$ is a similarity?

Medium

View Solution

In $\Delta ABC$,$m\angle B = 90^{\circ}$ and $\overline{BD}$ is an altitude to the hypotenuse $\overline{AC}$. If $BD = 2CD$,prove that $AC = 5CD$.

Difficult

View Solution

The areas of two similar triangles are $200$ and $128$. Then,the ratio of their corresponding altitudes is.....

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

In $\Delta PQR$ and $\Delta XYZ$,$\frac{PQ}{YZ} = \frac{QR}{XZ} = \frac{RP}{XY}$. Which correspondence between them is a similarity?

Similar Questions

In quadrilateral $ABCD$,$P$ is the midpoint of $\overline{BC}$. If $\overline{DP}$ produced intersects $\overline{AB}$ produced at $Q$,prove that $AB = 2CD$ given that $ABCD$ is a parallelogram.

In $\Delta ABC$,$m \angle A = 90^{\circ}$ and $\overline{AD}$ is an altitude to the hypotenuse $BC$. Then,$AD^{2} = \ldots$

In $\Delta ABC$,$AB = 3$,$BC = 6$,and $AC = 8$. In $\Delta PQR$,$PQ = 13.6$,$QR = 10.2$,and $PR = 5.1$. Which correspondence between $\Delta ABC$ and $\Delta PQR$ is a similarity?

In $\Delta ABC$,$m\angle B = 90^{\circ}$ and $\overline{BD}$ is an altitude to the hypotenuse $\overline{AC}$. If $BD = 2CD$,prove that $AC = 5CD$.

The areas of two similar triangles are $200$ and $128$. Then,the ratio of their corresponding altitudes is.....

Vedclass Test Series

Exam Paper Generator

Online Exam Module