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?.

Given $\mathrm{A}\mathrm{C}=\mathrm{D}\mathrm{F}$, $\mathrm{A}\mathrm{B}=\mathrm{D}\mathrm{E}$, $\mathrm{B}\mathrm{C}=\mathrm{E}\mathrm{F}$, if $\mathrm{\Delta ABC}\cong \mathrm{\Delta DEF}$, which congruence criterion do you use? $\left(\mathrm{ASA}/\mathrm{SAS}/\mathrm{SSS}/\mathrm{AAA}\right)$

Given, $\mathrm{Z}\mathrm{X}=\mathrm{R}\mathrm{P}$, $\mathrm{Z}\mathrm{Y}=\mathrm{RQ}$, $\angle \mathrm{X}\mathrm{Z}\mathrm{Y}=\mathrm{\angle }\mathrm{PRQ}$, if $\mathrm{\Delta }\mathrm{X}\mathrm{Y}\mathrm{Z}\cong \mathrm{\Delta PQR}$, then which congruence criterion do you use? $\left(\mathrm{ASA}/\mathrm{SAS}/\mathrm{AAA}/\mathrm{SSS}\right)$

Which congruence criterion do you use in the following?

Given: $\mathrm{\angle }\mathrm{M}\mathrm{L}\mathrm{N}=\mathrm{\angle }\mathrm{F}\mathrm{G}\mathrm{H}$, $\mathrm{\angle }\mathrm{N}\mathrm{M}\mathrm{L}=\mathrm{\angle }\mathrm{G}\mathrm{F}\mathrm{H}$, $\mathrm{M}\mathrm{L}=\mathrm{F}\mathrm{G}$. So, $\mathrm{\Delta }\mathrm{L}\mathrm{M}\mathrm{N}\cong \mathrm{\Delta }\mathrm{G}\mathrm{F}\mathrm{H}$.

Choose the correct word from: $\mathrm{ASA}/\mathrm{SSS}/\mathrm{SAS}/\mathrm{AAA}$.

In the given figure, $\Delta ABE\cong \Delta CDB$ in which $EB=DB$, $AE=BC$ and $\angle A=\angle C=90°$. Which congruency criteria is used here? $(\mathrm{SSS}$/$\mathrm{SAS}$/$\mathrm{ASA}$/$\mathrm{RHS})$.