Strategies, Sample Questions, and Random Ramblings.
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.___________________________________________________________________________________________
Trapezoid: A quadrilateral with one pair of parallel sides
Area = ((b1+b2)/2)×h
Perimeter = the sum of all sides (they can all be different lengths so there is no shortcut.___________________________________________________________________________________________
Parallelogram: A quadrilateral with two pairs of parallel sides
Area = b x h
Perimeter = 2b + 2s (s = the other two sides)
Diagonals - Bisect each other___________________________________________________________________________________________
Rhombus: A parallelogram that has four equal sides (also called a diamond)
Area = b × h (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___________________________________________________________________________________________
Rectangle: A parallelogram that has four right angles and 2 sets of congruent
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___________________________________________________________________________________________
Square: A rectangle that has four equal sides (also, a rhombus with right angles)
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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