Maharashtra Board Solutions for Chapter: Quadrilaterals, Exercise 3: Practice set 5.3

Diagonals of a rectangle ABCD intersect at point O. If AC = $8$ cm then find BO and if $\angle CAD=35°$ then $\angle ACB$ is $k°$. Find the value of $k$.

Diagonals of a square $\mathrm{IJKL}$ intersects at point $\mathrm{M}$, Find the measures of $\angle \mathrm{IMJ}$, $\angle \mathrm{JIK}$and $\angle \mathrm{LJK}$.

State with reasons whether the following statements are ‘true’ or ‘false’.

Every parallelogram is a rhombus.

State with reasons whether the following statements are ‘true’ or ‘false’.

Every rhombus is a rectangle.

State with reasons whether the following statements are ‘true’ or ‘false’.

Every rectangle is a parallelogram.

State with reasons whether the following statements are ‘true’ or ‘false’.

Every square is a rectangle.

State with reasons whether the following statements are ‘true’ or ‘false’.

Every square is a rhombus.

State with reasons whether the following statements are ‘true’ or ‘false’.

Every parallelogram is a rectangle.