Properties of a Rectangle

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

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

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

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$?$

$ABC$ 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 $\mathrm{C}$.

Name the quadrilaterals whose diagonals:

are equal.

Name the quadrilaterals whose diagonals:

are perpendicular bisector of each other.

Name the quadrilaterals whose diagonals:

bisect each other.

Explain how a square is a rectangle$?$

Explain how a square is a rhombus$?$

Explain how a square is

A parallelogram$?$

Explain how a square is

A quadrilateral$?$

Identify all the quadrilaterals that have: Four right angles.

Identify all the quadrilaterals that have four sides of equal length.

Draw a square who's each side measures $4.8\mathrm{cm}$.

Find the length of the diagonal of a rectangle whose sides are $12 \mathrm{cm}$ and $5 \mathrm{cm}$.

Draw a rectangle whose one side measures $8 \mathrm{cm}$ and the length of each of whose diagonals is $10 \mathrm{cm}$.

The sides of a rectangle are in the ratio $4 : 5.$ Find its sides if the perimeter is$90 \mathrm{cm}$.

The sides of a rectangle are in the ratio $2 : 3$, and its perimeter is $20 \mathrm{cm}$. Draw the rectangle.