S.N. Chhibber Solutions for Chapter: Properties of Quadrilaterals, Exercise 4: Exercise

In the adjacent figure, $\mathrm{ABCD}$ is a parallelogram and $\mathrm{E}$ and $\mathrm{F}$ are the midpoints of sides $\mathrm{AB}$ and $\mathrm{CD}$, respectively. Show that quadrilateral $\mathrm{AECF}$ is a parallelogram.

Find the unknown angles in the square $\mathrm{PQRS}$

In the adjacent figure, $\mathrm{PQRS}$ is a kite. Find: $\angle \mathrm{SRQ}$

In the adjacent figure, $\mathrm{PQRS}$ is a kite. If $\angle \mathrm{PSR}=k°$, then find the value of $k$.

$\mathrm{RENT}$ is an isosceles trapezium such that $\mathrm{TN}=15 \mathrm{cm}, \mathrm{TR}=7 \mathrm{cm}$ and the length between parallel sides is $6 \mathrm{cm}$. If the length of $\mathrm{RE}$ is $a-2\sqrt{b} cm.$ Find $a$.

$\mathrm{ABCD}$ is a rectangle and diagonals intersect each other at $O$. If $\angle \mathrm{COD}=120°$, find $\angle \mathrm{BCO}$

In a rhombus $\mathrm{ABCD}$, find $x, y$ and $z$. Hence, find the perimeter of the rhombus.

A line $p$ is parallel to line $q$ and a transversal $l$ intersects them at $A$ and $B$ respectively. Bisectors of interior angles at $A$ and $B$ intersects at $C$ and $D$, Name the figure $ACBD$ with reasons.