Some Special Parallelograms

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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

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A _____ is both a rhombus and a rectangle.

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Is rhombus a rectangle? Explain.

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Is rectangle a rhombus? Explain.

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Write the differences between Rectangle and Rhombus. 

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Write the similarities between Rectangle and Rhombus. 

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

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

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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.)

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

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

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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.

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State whether the following statement is true or false.

All parallelograms are rectangles.

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In a square, diagonals bisect each other at 90°.

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The diagonal of a square are_____.

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Which is true for a rectangle?

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All rectangles are squares.

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ABCD is a rhombus. The measure of BCD is :

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

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The sides and the angles of a rectangle are equal.

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PQRS is a rectangle. QM and SN are perpendiculars from Q and S on PR

Is it true that QM=SN, write yes or no.

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