R. D. Sharma Solutions for Chapter: Understanding Shapes-III (Special Types of Quadrilaterals), Exercise 3: EXERCISE

Complete the statement, so as to make the statement true:

A rectangle is a parallelogram in which-----

Complete the statement, so as to make the statement true:

A square is a rhombus in which-----

Complete the statement, so as to make the statement true:

A square is a rectangle in which-----

In a rectangle $ABCD$, prove that $△ACB\cong △CAD$.

Name the quadrilaterals whose diagonals:

are perpendicular bisector of each other.

Name the quadrilaterals whose diagonals:

are equal.

$ABC$ is a right-angled triangle and $O$ is the midpoint of the side opposite to the right angle. Explain why $\mathrm{O}$ is equidistant from $A,$ $B$ and $\mathrm{C}$.

A mason has made a concrete slab. He needs it to be rectangular. In what different ways can he make sure that it is rectangular$?$