Properties of a Parallelogram

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Properties of a Parallelogram: Overview

This topic covers concepts, such as Elements of a Parallelogram, Properties of a Parallelogram, Properties for Sides of a Parallelogram, Properties for Angles of a Parallelogram, Properties for Diagonals of a Parallelogram, Parallelogram as a Sum of Two Congruent Triangles, Sufficient Condition for a Quadrilateral to be a Parallelogram, Properties for Sides of a Rhombus, Properties for Angles of a Rhombus, Relation between Square and Parallelogram, Properties for Diagonals of a Rhombus, Sufficient Condition for a Quadrilateral to be a Rhombus, Properties for Sides of a Rectangle, Properties for Diagonals of a Rectangle, Properties for Angles of a Rectangle, Sufficient Condition for a Quadrilateral to be a Rectangle, Properties for Sides of a Square, Properties for Angles of a Square, Properties for Diagonals of a Square, Sufficient Condition for a Quadrilateral to be a Square, Relation between a Trapezium and a Parallelogram, Relation between a Kite and a Parallelogram, Relation between Rhombus and Parallelogram, Relation between Rhombus and Kite, Relation between Rectangle and Parallelogram, Relation between Rectangle and Rhombus, Relation between Square and Rhombus & Relation between Square and Rectangle etc.

Important Questions on Properties of a Parallelogram

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Shape made by the bisectors of angles of a parallelogram is

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If the length of parallel sides of a parallelogram is m and n, each, then the perimeter is equal to:

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Parallelograms on the same base and between the same parallel sides are:

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The interior opposite angles of a parallelogram are:

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If the base of parallelogram is 10 cm and its corresponding height is 5 cm, then the area of parallelogram is:

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Is a square a parallelogram?

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Two adjacent angles of a parallelogram are (2x+25)° and (3x-5)°. The value of x is

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If one of the angles of a parallelogram is 80°, then the value of opposite angle is

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Diagonals of a parallelogram are of equal length and intersect at right angle, then the parallelogram is

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The lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively. If the length of each side of the rhombus is k cm, find the value of k.

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In a quadrilateral PQRS, opposite angles are equal. If SR=2 cmPR=5 cm and PQ=k cm, then find the value of k

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 In the adjoining figure, ABCD is a parallelogram in which BAO=35°,DAO=40° and COD=105°. If CBD=y°, find the value of y.

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 In the adjoining figure, ABCD is a parallelogram in which BAO=35°, DAO=40° and COD=105°. If ODC=k, then find the value of k.

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In the adjoining figure, ABCD is a square. A line segment CX cuts AB at X and the diagonal BD at O such that COD=80° and OXA=x°. Find the value of x. (Give the answer in value without degree symbol).

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Which one has all the properties of a parallelogram and also that of a kite?

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Which of the following is not a parallelogram?

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ABCD is a rhombus such that one of its diagonals is equal to its side. Then the angles of rhombus ABCD are

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A diagonal of a parallelogram divides it into

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All the angles of a convex quadrilateral are congruent. However, not all its sides are congruent. What type of quadrilateral is it?

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Which of the following is not true for a parallelogram?