Jammu and Kashmir Board Solutions for Chapter: Congruence of Triangles, Exercise 8: TRY THESE

It is to be established by RHS congruence rule that $∆ABC\cong ∆RPQ$, What additional information is needed, if it is given that $\angle B=\angle P=90°$ and $AB=RP$?

In Figure, $BD$  and $CE$ are altitudes of $∆ABC$ such that$BD=CE$

State the three pairs of equal parts in $∆CBD$and $∆BCE$.

In Figure, $BD$ and $CE$ are altitudes of $∆ABC$ such that $BD=CE$

Is $∆CBD\cong ∆BCE$? Why or why not?

In Figure, $BD$ and $CE$ are altitudes of $∆ABC$ such that $BD=CE$

Is $\angle DCB=\angle EBC$? Why or why not?

$∆ABC$ is an isosceles triangle with $AB=AC \mathrm{and} AD$is one of its altitudes.

State the three pairs of equal parts in $∆ADB \mathrm{and} ∆ADC$.

$∆ABC$ is an isosceles triangle with $AB=AC \mathrm{and} AD$is one of its altitudes.

Is  $∆ADB\cong ∆ADC$ Why? Why not?.

$∆ABC$ is an isosceles triangle with $AB=AC \mathrm{and} AD$is one of its altitudes.

Is $\angle B=\angle C$? Why or Why not?

$∆ABC$ is an isosceles triangle with $AB=AC \mathrm{and} AD$is one of its altitudes.

Is $BD=CD$? Why or why not?.