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Published byAmelia Patterson Modified over 7 years ago

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Parallelogram Rectangle Rhombus Square Trapezoid Kite

Quadrilaterals Parallelogram Rectangle Rhombus Square Trapezoid Kite

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Each shape has four sides.

Quadrilaterals “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. trapezoid square kite rhombus parallelogram rectangle

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Parallelograms Opposite Sides are Parallel

Consecutive Angles are Supplementary Opposite Angles are Congruent Opposite Sides are Congruent Diagonals Bisect Each Other

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Rectangles, Squares, and Rhombuses Are All Special Types of Parallelograms

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All Have the Properties of Parallelograms

Opposite sides are parallel Opposite sides are congruent Opposite angles are congruent Consecutive angles are supplementary Diagonals bisect each other A B m<A + m<B = 180° 90° + 90° = 180°

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Rectangle A parallelogram with right angles

Diagonals are Congruent.

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Rhombus A parallelogram with 4 congruent sides.

Diagonals bisect opposite angles. Diagonals are perpendicular.

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Square A parallelogram with 4 congruent sides and right angles.

Diagonals are congruent. Diagonals are perpendicular. Diagonals bisect opposite angles.

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Squares Have All the Properties of Rectangles and Rhombuses (and Parallelograms, too!)

All four sides are congruent All four angles are right angles Diagonals are congruent Diagonals are perpendicular Diagonals bisect opposite angles

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One pair of parallel sides.

Trapezoids One pair of parallel sides. Two pair of supplementary angles.

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Isosceles Trapezoid Nonparallel sides congruent

Two pair of base angles congruent. Diagonals are congruent

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Adjacent sides congruent, opposite sides not congruent.

Kite Adjacent sides congruent, opposite sides not congruent.

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Quadrilaterals SHAPE SIDES ANGLES PARALLEL LINES Square 4 same length

4 right angles 2 sets Rhombus 2 acute 2 obtuse Trapezoid different lengths different angles 1 set Rectangle 2 long, short Parallelogram 2 acute obtuse

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