1. Types of Quadrilaterials Name:____________ Date:__________ Read pp.316-319 and answer the questions below. Type of Quadrilateral Definition Parallelogram 1. Fill out the table below.

2. 2.Write the Quadrilateral Hierarchy Theorem 3. Complete the sentence. Every property true of all figures of … is also true of… 5. Fill in the blanks with always, sometimes, or never to make a true statement. a.A rhombus is a square. b.A parallelogram is a kite. c.A kite is a trapezoid. 4. Answer True or False. a.All parallelograms are kites. b.Some parallelograms are kites. c.Some kites are parallelograms. d.No rectangles are squares. e.No squares are rectangles. f.All rectangles are squares. g.All squares are rectangles. h.Some squares are rectangles. i.No kites are rectangles.

3. A Quadrilateral is a polygon with Four sides A quadrilateral is a Trapezoid if and only if A trapezoid is an Isosceles Trapezoid if and only if A polygon is a Parallelogram if and only if A quadrilateral is a Rhombus if and only if A quadrilateral is a Rectangle if and only if A quadrilateral is a Square if and only if The Hierarchy of Quadrilaterals Name:__________________Date:___ First: Label the Hierarchy as shown on p 319 Then: Copy each definition from pp.316-318: A quadrilateral is a Kite if and only if

4. 1. By the information given in each drawn, what quadrilateral is pictured? 10 yd 70º 110º 10 yd 11 yd 110º 70º 110º 100º 11 yd 2. When asked to illustrate a parallelogram, Bill and Jill drew these figures. Bill’s drawingJill’s drawing Is either drawing appropriate? Is it possible that both are appropriate? Justify your answer. If you think that neither drawing is appropriate, make an appropriate drawing of your own. Quadrilaterals Name:__________ Date:___________ 3. Graph quadrilateral ABCD with the vertices A(0,0), B(4,2), C(3,7) and D(-1,5). Find the slope, of each side and use your results to explain why this quadrilateral is a trapezoid.

5. Yes or No? Isosceles Trapezoid Parallelogram Rhombus Rectangle Square Opposite sides are Opposite angles are Diagonals are Diagonals bisect 4. These quadrilaterals ARE DRAWN to scale. Use the drawing to complete the chart below. 5. If QUAD is an isosceles trapezoid with QU||AD, m  Q = 5t + 9 and m  D = 4t - 27, Label the diagram and find t, m  Q and m  A. U Q A D