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GMAT Quadrilaterals

by ejkiv


July 19, 2015


There are several types of GMAT quadrilaterals, or four-sided figures, that you will need to know when taking the GMAT. We will look at the area perimeter and other properties of each figure individually.

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Trapezoid: A quadrilateral with one pair of parallel sides

GMAT Quadrilaterals - Trapezoid

Area = ((b1+b2)/2)×h

Perimeter = the sum of all sides (they can all be different lengths so there is no shortcut.

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Parallelogram: A quadrilateral with two pairs of parallel sides

GMAT Quadrilaterals - ParallelogramArea = b x h

Perimeter = 2b + 2s (s = the other two sides)

Diagonals - Bisect each other

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Rhombus: A parallelogram that has four equal sides (also called a diamond)

GMAT Quadrilaterals - Rhombus

Area = × (h is the dotted line)

Perimeter = 4s (s is the length of a side)

Other - The interior triangles created by the diagonals are all identical

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Rectangle: A parallelogram that has four right angles and 2 sets of congruent

GMAT Quadrilaterals - Rectangle

Area = b×h (also known as l and w)

Perimeter = 2l + 2w

Diagonals - Bisectors of each other, all segments are equal.

Other - The interior triangles created by the diagonals are two sets of identical isosceles triangles

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Square: A rectangle that has four equal sides (also, a rhombus with right angles)

GMAT Quadrilaterals - Square

Area = s^2

Perimeter = 4s

Diagonals - Perpendicular bisectors of each other, all segments are equal.

Other - The interior triangles created by the diagonals are four congruent  isosceles right triangles, otherwise known as 45:45:90 triangles.

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