Parallelograms

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Parallelograms: Overview

This topic covers concepts, such as Parallelogram, Elements of a Parallelogram, Relation between a Trapezium and a Parallelogram, Relation between a Kite and a Parallelogram, and Properties for Sides of a Parallelogram.

Important Questions on Parallelograms

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Why is a kite not a parallelogram?

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What is the difference between a parallelogram and a kite?

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

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In the parallelogram XYWZ, ∠XZW + ∠YWZ = _____ degrees.

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Which of the following is true for the adjacent angles of a parallelogram?

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ABCD is a parallelogram, AE bisects A and CF bisects C. If DAB=60°

Prove that AECF.

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Consider the Parallelogram and answer the following question.

Is AB__CD__ ? (opposite sides) 

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In the following figure, two intersecting diagonals have been drawn.
If the end points of these diagonals are joined, what type of quadrilateral would you get?
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Find the missing angles in the following parallelograms :
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ABCD is a parallelogram in which a pair of adjacent angles are in the ratio 1:2. Find the measure of all the angles.

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ABCD is a parallelogram.
Find the values of, x, y and z.

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The lengths of the two sides of a parallelogram are 3x and 5x. The perimeter is 480cm. Find the value of x.

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If a parallelogram has one angle measuring 60˚, find out the measure of the other angles.

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If an angle of a parallelogram is twice its adjacent angle, then the angles are:

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The adjacent sides of a parallelogram are 7 cm and 10 cm. Its perimeter is _____.