Some Special Parallelograms
Some Special Parallelograms: Overview
This topic discusses some special parallelograms. They are rhombus, rectangle and square. In a parallelogram, the diagonals can be of different lengths but the rectangle has diagonals of equal length.
Important Questions on Some Special Parallelograms
A _____ is both a rhombus and a rectangle.

Is rhombus a rectangle? Explain.

Is rectangle a rhombus? Explain.

Write the differences between Rectangle and Rhombus.

Write the similarities between Rectangle and Rhombus.

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. equalunequal

Consider a square ABCD, with side 50 √2 m. In a sports drill, Peter had to drop the balls at all the four corners of the square moving according to the pattern given below.
O to A to B to C to D to O
Distance travelled by Peter = _____ m
(Use √2 = 1.414 and round off the solution to the nearest whole number.)

In the given figure if OA is 2x + 3 and OB is 4x then the measure of the diagonal is _____ units.

The measure of the sides can be found given the measure of a diagonal of the square.

The property of squares that can help us to identify the measure of ∠ DBA is
a. All angles of a square is a right angle or the property that all sides of a square are equal.
b. Diagonals of the square are equal or the property that diagonals bisect at right angles.
Identify the best option that will help us solve the problem.

State whether the following statement is true or false.
All parallelograms are rectangles.

In a square, diagonals bisect each other at .

The diagonal of a square are_____.

Which is true for a rectangle?

All rectangles are squares.

is a rhombus. The measure of is :

If a quadrilateral is both a parallelogram and a kite, then it is a rhombus.

The sides and the angles of a rectangle are equal.

is a rectangle. and are perpendiculars from and on .
Is it true that , write yes or no.
