Quadrilaterals Parallelogram Rectangle Rhombus Square Trapezoid Kite Quadrilaterals

Quadrilaterals Parallelogram Rectangle Rhombus Square Trapezoid Kite

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

Parallelograms Opposite Sides are Parallel Opposite Sides are Congruent Consecutive Angles are Supplementary Opposite Angles are Congruent Alternate Interior Angles are Congruent Diagonals Bisect Each Other

Rectangles, Squares, and Rhombuses Are All Special Types of Parallelograms Parallelogram Rectangle Rhombus Square

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 B m<A + m<B = 180° 90° + 90° = 180° A

Rectangle A parallelogram with right angles Diagonals are Congruent.

Rhombus A parallelogram with 4 congruent sides. Diagonals bisect opposite angles. Diagonals are perpendicular.

Square A parallelogram with 4 congruent sides and right angles. Diagonals are congruent. Diagonals are perpendicular. Diagonals bisect opposite angles.

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

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

Isosceles Trapezoid Nonparallel sides congruent. Two pair of base angles congruent. Diagonals are congruent.

Kite Adjacent sides congruent. Opposite sides not congruent. Diagonals are perpendicular. One diagonal is bisected.

Quadrilaterals SHAPE SIDES Square 4 same length Rhombus Trapezoid Rectangle Parallelogram different lengths 2 long, 2 short ANGLES PARALLEL LINES 4 right angles 2 sets 2 acute 2 sets 2 obtuse different 1 set angles 4 right angles 2 sets 2 acute obtuse 2 2 sets