Introduction to Quadrilaterals Lesson 19 Introduction to Quadrilaterals

A quadrilateral is a polygon with four sides Properties Parallelogram Both pairs of opposite sides are parallel Kite Exactly 2 pairs of consecutive sides are congruent Trapezoid Exactly one pair of sides are parallel Trapezium No parallel sides Parallelogram Properties Rectangle A parallelogram with 4 right angles Rhombus A parallelogram with 4 congruent sides Square A parallelogram with 4 right angles and 4 congruent sides

Quadrilateral Family Tree This will help to determine types of quadrilaterals and help with the sometime, always, never questions Can a kite be a rhombus? Never Can a rectangle be a square? Sometimes

Classify quadrilateral ABCD & explain Trapezoid Exactly one pair of parallel sides Is it isosceles? Why or why not? No, 𝐴𝐵 and 𝐶𝐷 are not congruent

Classify quadrilateral WXYZ & explain Rectangle Because of the 4 right angles, you can show opposite sides are parallel since same side interior angles are supplementary Is it a square? Why or why not? No all four sides are not congruent

No diamonds in Geometry! What kind of a quadrilateral is the infield of a baseball diamond? square What other classification of quadrilaterals is it? rectangle, rhombus, parallelogram

How far does the batter run after she hits a homerun in softball? What is the base length in softball? 60 ft What is the formula for the perimeter of a square? 𝑃=4𝑠 𝑃=4 60 𝑃=240 𝑓𝑡

Questions/Reviews Future lessons we will learn more about these shapes like: Angles Sides Diagonals Area & Perimeter