S Purkayastha Solutions for Chapter: Understanding Quadrilaterals, Exercise 4: CHECK POINT

$\mathrm{ABCD}$ is a rhombus with $\angle \mathrm{ABC}=58°$. Determine $\angle \mathrm{ACD}$

Prove that each of the four sides of rhombus is of same length.

The diagonals of a parallelogram are not perpendicular. Is it a rhombus$?$ Why or why not$?$

Given reason for the following statement:

The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus?

A parallelogram is a rhombus if all its _____ are equal.

A square is a rhombus if its _____ .

If the diagonals of a quadrilateral bisect each other at right angles, then it is a_____

The diagonals of a quadrilateral are of lengths $16 \mathrm{cm}$ and $12 \mathrm{cm}$. If the diagonals bisect each other at right angles, what is the length of each side of the quadrilateral?