Different Types of Quadrilaterals

Prove diagonals of rhombus are perpendicular to each other.

Prove that diagonals of rectangle are of equal length.

Prove that each of the angles of a square is a right angle and each of the four sides is of same length.

Each of the four angles of a rectangle is a right angle.

Why is a kite not a parallelogram?

What is the difference between a parallelogram and a kite?

_____ is a quadrilateral that is both a kite and parallelogram.

$ABCD$ is a kite. Is $\angle DOA=\angle DOC$? (Yes / No)

Uma has made a sweet chikki. She wanted it to be rectangular. In _____ ways she can verify that it is rectangular.

It is possible to construct the quadrilateral when measurement of four sides and one diagonal is given.

The diagonals of a rectangle are of _____ length. $($equal$/$unequal$)$

The pendent is made of red stone and diamond. The two shorter sides of the red stone are congruent and measure 1 cm. The length of the two longer sides are congruent and measure 2 cm and the shortest diagonal measures 1.8 cm.

The area of the red stone is _____ sq cm.

(Express your answer upto 3 decimal places)

Diagonals of an isosceles trapezium bisect each other. Is this statement true or false?

In the Isosceles trapezium ABCD, ∠ACD = _____degrees.

“In an isosceles trapezium, if you know one interior angle, you can find all other interior angles". Is this statement true?

In the Isosceles trapezium ABCD, ∠ABC = _____ degrees.

In the given Isosceles trapezium PQRS, ∠PQS is congruent to which of the other angles of the trapezium?

In the trapezium PQRS, if diagonal PR measures 7 cm then length of the diagonal QS = _____cm.

In the Isosceles trapezium ABCD, if ∠ADC = 75$ °$ then ∠BCD = _____ degrees.

“Diagonals of a trapezium are always of equal length".

Is this statement true or false?