Quadrilaterals A quadrilateral is a polygon with 4 sides
Classifying Quadrilaterals Quadrilateral Parallelogram Kite Trapezoid Trapezium Properties Example - both pairs of opposite sides are parallel -exactly 2 pairs of consecutive are congruent -exactly 1 pair of opposite sides are parallel - no sides parallel
Types of Parallelograms • Rectangle- parallelogram with 4 right angles • Rhombus- parallelogram with 4 congruent sides • Square- parallelogram with 4 right angles and 4 congruent sides
HINT • Though parallelograms can often be given several names, always try to find the most specific name. • For example, a quadrilateral with 4 right angles could be called a parallelogram, but it is more specific to call it a rectangle
• Some quadrilaterals can be named in several ways. • For example- a square is also a rectangle, a rhombus, and a parallelogram • A kite is also a trapezium
trapezium
Sketching Quadrilaterals • Sketch each Quadrilateral based on its description; • 1) In quad ABCD, each side measures 3 feet • 2)Quad HJKL, where HJ is parallel to KL and JK is congruent to HL • 3)Quad PQRS where <P is congruent to <R and <Q is congruent to <S • 4) Quad RSTU, ST is parallel to RU
Finding Perimeter & Area of rectangles and Squares • Perimeter of Square = 4 s • Perimeter of Rectangle= 2 L + 2 W • Area of Square= S x S • Area of Rectangle = L x W