Monica Capoor Solutions for Exercise 4: Exercise 13.3

Find the measurements of the unknown side or angle marked by small letters in the following pairs of congruent triangles.

Find the measurements of the unknown side or angle marked by small letters in the following pairs of congruent triangles.

Find the measurements of the unknown side or angle marked by small letters in the following pairs of congruent triangles.

In the following figure $AB=AD$ and $\angle BAC=\angle DAC$. Prove that line segment $CA$ bisects $\angle BCD$.

If line segments $AB$ and $CD$ bisect each other at $O$, then using $SAS$ congruence rule prove that $△AOC\cong △BOD$.

In the following figure, $AB\parallel DC$ and $AB=DC$. Prove that $△ACD\cong △CAB$.

In the following figure, $AB\parallel DC$ and $AB=DC$. Find the angle equals to $\angle CAD$.

In the following figure, $AB\parallel DC$ and $AB=DC$. If $\angle CAD=\angle ACB$ then can we say $AD\parallel BC$?