Properties of a Parallelogram

IMPORTANT

Properties of a Parallelogram: Overview

This topic covers concepts such as Elements of a Parallelogram, Relation between a Trapezium and a Parallelogram, Relation between a Kite and a Parallelogram, Sufficient Condition for a Quadrilateral to be a Parallelogram, etc.

Important Questions on Properties of a Parallelogram

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W, X, Y and Z are the midpoints of the four sides of parallelogram ABCD. P is a point on the line segment YZ. What percent of the area of parallelogram ABCD is a triangle PXW?

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Every trapezium.is a parallelogram.

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Every parallelogram is a trapezium.

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Let ABCDEF be a hexagon such that the diagonals AD, BE and CF intersect at the point O, and the area of the triangle formed by any three adjacent points is 2 sq. units (for example, area of ΔBCD is 2 sq. units). Find the area (in sq. units) of the hexagon.

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The diagram shows two identical squares, ABCD and PQRS, overlapping each other in such a way that their edges are parallel, and a circle of radius (2-2) cm covered within these squares. Find the length of the side of square ABCD.

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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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A square and a parallelogram have the same area. If the side of the square is 48m and the height of the parallelogram is 18m. Find the length of the base of the parallelogram.

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How are square and parallelogram alike?

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Is a square a parallelogram?

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A square can be a parallelogram.

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What is the relation between square and a parallelogram?

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What is the relationship between a kite and a rhombus?

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What does a kite and rhombus have in common?

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All kites are Rhombuses?

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Rhombus can be a kite.

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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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The opposite angles of a parallelogram are of equal measure.

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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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In ΔABC and ΔDEF, AB=DE, ABDE, BC=EF and BCEF. Vertices A, B and C are joined to vertices D,E and F respectively. Then, the quadrilateral ABED is a parallelogram.
 
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MEDIUM
IMPORTANT

One of the two adjacent angles of a parallelogram is 18° more than the double of the other. Find the greatest angle of the parallelogram.