NCERT Solutions for Chapter: Quadrilaterals, Exercise 2: Exercise

Diagonals $\mathrm{AC}$ and $\mathrm{BD}$ of a parallelogram $\mathrm{ABCD}$ intersect each other at $\mathrm{O}$. If $\mathrm{OA}=3 \mathrm{cm}$ and $\mathrm{OD}=2 \mathrm{cm},$ determine the lengths of $\mathrm{AC}$ and $\mathrm{BD}$.

In $△\mathrm{ABC}, \mathrm{AB}=5 \mathrm{cm}, \mathrm{BC}=8 \mathrm{cm}$ and $\mathrm{CA}=7 \mathrm{cm}$. $\mathrm{D}$ and $\mathrm{E}$ are the midpoints of $\mathrm{AB}$ and $\mathrm{BC}$ respectively. If the length of$\mathrm{DE}$ is $k$ $\mathrm{cm}$, then find the value of $k$ in decimal form.

In the given figure, it is given that $\mathrm{BDEF}$ and $\mathrm{FDCE}$ are parallelograms. Can you say that $\mathrm{BD}=\mathrm{CD}$? Why or why not?

In the given figure, $\mathrm{ABCD}$ and $\mathrm{AEFG}$ are two parallelograms.

If $\angle \mathrm{C}=55°$ and $\angle \mathrm{F}=k°$, then find the value of $k$.

Can all the angles of a quadrilateral be acute angles? Give reason for your answer.

Can all the angles of a quadrilateral be right angles? Give reason for your answer.

Diagonals of a quadrilateral $\mathrm{ABCD}$ bisect each other. If $\angle \mathrm{A} = 35°$ and $\angle \mathrm{B}=k°$, then find the value of $k$.

Opposite angles of a quadrilateral $\mathrm{ABCD}$ are equal. If $\mathrm{AB}=4 \mathrm{cm}$ and $\mathrm{CD}=x \mathrm{cm}$, then find the value of $x$.