R K Bansal Solutions for Chapter: Special Types of Quadrilaterals, Exercise 1: EXERCISE 17

The given figure shows a parallelogram $ABCD$. Points $M$ and $N$ lie in diagonal $BD$ such that $DM=BN$. Prove that, $△DMC\cong △BNA$ and so $CM=AN$.

The given figure shows a parallelogram $ABCD$. Points $M$ and $N$ lie in diagonal $BD$ such that $DM=BN$. Prove that, $△AMD\cong △CNB$ and so $AM=CN$.

The given figure shows a parallelogram $ABCD$. Points $M$ and $N$ lie in diagonal $BD$ such that $DM=BN$. Prove that, $ANCM$ is a parallelogram.

The given figure shows a rhombus $ABCD$ in which angle $BCD=80°$. Find angles $x$ and $y$.

Use the information given in the following diagram to find the value of $x, y$ and $z$.

The following figure is a rectangle in which $x:y=3:7$, find the values of $x$ and $y$.

In the given figure, $AB\left|\right|EC, AB=AC$ and $AE$ bisects $\angle DAC$.  Prove that, $\angle EAC=\angle ACB$.

In the given figure, $AB\left|\right|EC, AB=AC$ and $AE$ bisects $\angle DAC$.  Prove that, $ABCE$ is a parallelogram.