M L Aggarwal Solutions for Exercise 4: Chapter Test

In the adjoining figure $ABCD$ is a parallelogram. $CB$ is produced to $E$ such that $BE = BC$. Prove that $AEBD$ is a parallelogram.

Find the size of each lettered angle in the following figures:

Find the size of each lettered angle in the following figures:

Find the size of each lettered angle in the following figures:

Find the size of each lettered angle in the following figures:

Find the size of each lettered angle in the following figures:

Find the size of each lettered angle in the following figures:

Using ruler and compasses only, construct a parallelogram $ABCD$ with $AB=5 \mathrm{cm}, \mathrm{AD}=2.5 \mathrm{cm}$ and $\angle BAD=45°$. If the bisector of $\angle BAD$ meets $DC$ at $E$, prove that $\angle AEB$ is a right angle.