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Quadrilaterals Four sided polygons Non-examples Examples.

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Presentation on theme: "Quadrilaterals Four sided polygons Non-examples Examples."— Presentation transcript:

1 Quadrilaterals Four sided polygons Non-examples Examples

2 Specific Kinds of Quadrilaterals
Parallelogram Rectangle Square Rhombus Trapezoid Kite

3 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

4 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

5 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.

6 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

7 Trapezoid Exactly one pair of parallel sides (bases).
leg Exactly one pair of parallel sides (bases). Exactly one pair of nonparallel sides (legs).

8 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

9 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

10 Kite Two pairs of adjacent sides are congruent.
No opposite sides are congruent. Diagonals are perpendicular.


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