R. D. Sharma Solutions for Chapter: Congruent Triangles, Exercise 8: MULTIPLE CHOICE QUESTIONS (MCQs)

In the given figure, $AB\perp BE$ and $FE\perp BE$. If $BC=DE$ and $AB=EF$, then $△ABD$ is congruent to

In the given figure, if $AE\parallel DC$ and $AB=AC$, the value of $\angle ABD$ is

In the given figure, $ABC$ is an isosceles triangle whose side $AC$ is produced to $E$. Through $C$, $CD$ is drawn parallel to $BA$. The value of $x$ is

In the given figure, if $AC$ is bisector of $\angle BAD$ such that $AB=3 \mathrm{cm}$ and $AC=5 \mathrm{cm}$, then $CD=$

$D, E, F$ are the mid-point of the sides $BC, CA$ and $AB$ respectively of $△ABC$. Then $△DEF$ is congruent to triangle

$ABC$ is an isosceles triangle such that $AB=AC$ and $AD$ is the median to base $BC$. Then, $\angle BAD=$

In the given figure, $X$ is a point in the interior of square $ABCD$. $AXYZ$ is also a square. If $DY=3 \mathrm{cm}$ and $AZ=2 \mathrm{cm}$, then $BY=$

In the given figure, $ABC$ is a triangle in which $\angle B=2 \angle C$. $D$ is a point on side $BC$ such that $AD$ bisects $\angle BAC$ and $AB=CD$. $BE$ is the bisector of $\angle B$. The measure of $\angle BAC$ is