State which pairs of triangles in the figure are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) In $\triangle MNL$ and $\triangle QPR$:
Given $\angle M = \angle Q = 70^{\circ}$.
Also,the ratios of the sides including these angles are:
$\frac{MN}{QP} = \frac{2.5}{5} = \frac{1}{2}$
$\frac{ML}{QR} = \frac{5}{10} = \frac{1}{2}$
Since $\frac{MN}{QP} = \frac{ML}{QR} = \frac{1}{2}$ and $\angle M = \angle Q$,by the $SAS$ (Side-Angle-Side) similarity criterion,the two triangles are similar.
Therefore,$\triangle MNL \sim \triangle QPR$.

Explore More

Similar Questions

Observe the figure and find $\angle P$.

Difficult
View Solution

In the figure,$OA \cdot OB = OC \cdot OD$. Show that $\angle A = \angle C$ and $\angle B = \angle D$.

Diagonals $AC$ and $BD$ of a trapezium $ABCD$ with $AB \parallel DC$ intersect each other at the point $O$. Using a similarity criterion for two triangles,show that $\frac{OA}{OC} = \frac{OB}{OD}$.

In the figure,$ABC$ and $DBC$ are two triangles on the same base $BC$. If $AD$ intersects $BC$ at $O$,show that $\frac{\operatorname{ar}(ABC)}{\operatorname{ar}(DBC)} = \frac{AO}{DO}$.

Difficult
View Solution

State whether the following quadrilaterals are similar or not.

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