Activity 15 Classifying Quadrilaterals Quadrilateral A polygon with

Activity 15 - Classifying Quadrilaterals

Quadrilateral • A polygon with 4 sides

1 st divided up by the number of pairs of parallel sides Flow Chart Quadrilaterals Be careful to follow arrows in d names for each shape Then divided up by specific types/kinds Trapezium Kite Parallelogram Trapezoid Isosceles Rectangle Rhombus Trapezoid Parallelogram divided into Finally the shape that is a categories of all angles rectangle and a rhombus! congruent or all sides congruent Square

15. 1 - Kites • A quadrilateral with exactly two distinct pairs of adjacent congruent sides Important Properties: • Diagonals of a kite are perpendicular • One pair of opposite angles are congruent • Other two angles bisected by diagonals • Look for pairs of congruent triangles!

K 2 x – 16 L + – 20 J 6 x 19 M • Find m 1 and m 2. 5 x -y Find x and y. + 5

15. 2 -Trapezoids

leg Trapezoid base • A quadrilateral with exactly one pair of parallel sides • NOT a parallelogram… does not have properties of one • Parallel sides are called bases • Nonparallel sides are called legs

Base Angles of a Trapezoid • There are 2 pairs of base angles • Each pair of base angles are formed by the same base and non-common legs W Trapezoid WXYZ Z X Y

Isosceles Trapezoid • A trapezoid with legs congruent to each other Properties of An Isosceles Trapezoid: • Both pairs of base angles are congruent • Non-congruent angles are supplementary • Diagonals of an isosceles trapezoid are congruent

Find m O and m MNQ if MNOP is an isosceles trapezoid

Median of a Trapezoid W U X V Z • Segment that joins the midpoints of the legs of a trapezoid • Parallel to the bases • Median equals ½ the sum of the bases UV = (½)(WX + ZY) Y

Find IJ if FG=16 and EH=43. Find PL.

Find the coordinates for the endpoints of the median of the trapezoid ABCD with A(1, 3), B(5, 0), C(8, -5), and D(-4, 4).