1. Date: 8.6(b) Notes: Trapezoids Lesson Objective: Apply properties of trapezoids. CCSS: G.GPE.4, G.MG.3

2. Lesson 1: Properties of Trapezoids Make the Isosoceles trapezoid ABCD with 2 small tangram triangles and the square OR A B D C

3. Lesson 1: Properties of Trapezoids OR with the medium triangle and the parallelogram. Trace around the trapezoid, using a different color for AD and BC. A B D C

4. Lesson 1: Properties of Trapezoids Isosceles Trapezoid: A quadrilateral with exactly 1 pair of | | bases and 1 pair of nonparallel con­gruent legs. Based on that definition, what should we mark on the trapezoid? A B D C

5. Lesson 1: Properties of Trapezoids What else do you observe in the Isosceles trapezoid? A Base B Base D C

6. Lesson 1: Properties of Trapezoids Properties/Conditions of Isosceles Trapezoid: 1)Each pair base / s 2)Diag. Base Angles A Base B Leg Leg Base D Base Angles C

7. Lesson 2: Using Properties of Trapezoids A.You want to duplicate the picture of Sponge Bob. Sponge Bob’s head is an Isosceles trapezoid.

8. Lesson 2: Using Properties of Trapezoids A.Find m/ A if m/ D = 100°. AB DC

9. Lesson 2: Using Properties of Trapezoids B.If his nose, P, is the intersection of the diagonals and AC = 32” and DP = 14”, find PB. AB DC P

10. Lesson 3: Applying Conditions for Isosceles Trapezoids A.Find the value of a so that PQRS is isosceles. B.PR = 12x – 11, and SQ = 9x – 2. Find the value of x so that PQRS is isosceles.

11. Lesson 4: Trapezoid Midsegment Theorem Trapezoid Midsegment Theorem: The midsegment is | | to each base and its length is ½(b 1 + b 2 ).

12. Lesson 5: Using the Trapezoid Midsegment Theorem Sponge Bob’s body also forms an Isosceles trapezoid.

13. Lesson 5: Using the Trapezoid Midsegment Theorem Isosceles trapezoid CDEF can be formed, with GH as the mid- segment where his shirt and pants meet. Find GH if CD = 26 and EF = 24.5. CD GH E F

14. 8.6: Do I Get It? Yes or No 1.m/ FGH 2.KH 3.

15. 8.6: Do I Get It? Continued 4. 5.