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Published byRose Baker Modified over 8 years ago
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Quadrilaterals Four sided polygons Non-examples Examples
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Specific Kinds of Quadrilaterals
Parallelogram Rectangle Square Rhombus Trapezoid Kite
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Parallelogram Both pairs of opposite sides are parallel.
Both pairs of opposite sides are congruent. Both pairs of opposite angles are congruent. Diagonals bisect each other. A B D C
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Rectangle Opposite sides are congruent and parallel.
Opposite angles are congruent. Consecutive angles are supplementary. Diagonals are congruent and bisect each other. All four angles are right angles. E F G H
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Rhombus All sides are congruent. Opposite sides are parallel.
J K L All sides are congruent. Opposite sides are parallel. Diagonals are perpendicular and bisect each other . Diagonals are angle bisectors.
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Square All sides are congruent. Opposite sides are parallel.
All angles are right angles. Diagonals are congruent, perpendicular and bisect each other . Diagonals are angle bisectors. M N O P
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Trapezoid Exactly one pair of parallel sides (bases).
leg Exactly one pair of parallel sides (bases). Exactly one pair of nonparallel sides (legs).
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Isosceles Trapezoid base The legs are congruent.
Base angle T R J K The legs are congruent. Both pairs of base angles are congruent. The diagonals are congruent. The median (JK) joins the midpoints of the legs. leg A
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Formula to Find the Median of an Isosceles Trapezoid
(base + base) 2 = Median D A B C M N 3x-1 10 7x+1 Example: 10x = 10 2 AB + CD = MN 2 2( ) = (10)2 10x 3x – 1 +7x +1 2 = 10 10x = 20 2 10x = 20 10 10 X = 2
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Kite Two pairs of adjacent sides are congruent.
No opposite sides are congruent. Diagonals are perpendicular.
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