1. Section 6-5-6-7: Kites and Figures in the Coordinate Plane March 19, 2012 (1B, 2B) March 20, 2012 (4B)

2. Plan  Study for quiz on sections 6-1 to 6-4  Questions before quiz (5 mins)  Quiz (20 mins)  Warm-up (10 mins): Practice Book, 6-5, p. 72: # 1 – 9 and Examples on next slide....

3. Warm-up (cont’d) Find value of x in isosceles trapezoid SEAN Find perimeter of isosceles trapezoid CARL

4. Warm-up

5. Questions on Homework?

6. Section 6-5 (cont’d): Kites Section 6-6/6-7: Figures in Coordinate Plane  Objectives: You will learn to use properties of kites and find coordinates of a quadrilateral

7. Kites Kite  Diagonals are perpendicular  A diagonal bisects the angles formed by the congruent sides  Angles formed by non-congruent sides are congruent

8. Kite Applet http://www.mathopenref.com/kite.html

9. Example 1: Find missing angle measures in KITE

10. Example 2: Find x and y

11. Example 3: Find x

12. Summary: Trapezoids and Kites Fill in everything you know Isosceles Trapezoid Kite

13. Sections 6-6 and 6-7: Figures in the Coordinate Plane

15. Rectangle RECT: coordinates as variables

16. Example 1

17. Example 2a: Use the properties of each figure to find the missing coordinates

18. Example 2b: Use the properties of each figure to find the missing coordinates

19. Midsegments/Medians of Trapezoids  The midsegment of a trapezoid is the segment that joins the midpoints of the nonparallel sides (legs)  Trapezoid Midsegment Theorem: 1) The midsegment of a trapezoid is parallel to the bases. 2) The length of the midsegment of a trapezoid is half the sum of the lengths of the bases.

20. Example 3: Find x in Trapezoid UNCW

21. Example 4: Find x

22. Example 5: Find x in trapezoid ELON

23. Example 6: a) If BG = 8, then CF = __ DE = __ b) If CF = 10, then BG = __ DE = __ c) If DE = 15 and BG = 7, then CF = __ d) If CF = 2x + 4, BG = 2x + 1, and DE = 3x + 2, then x = ___

24. Coordinate Proofs (H)

25. Example 8: Given: TWVU are midpoints of each side

26. Example 9:

27. Wrap-up  Today you learned to use properties of kites and find coordinates of a quadrilateral  Tomorrow we’ll review for the test on Chapter 6 on Wednesday Homework (H)  p. 328 – 329: #1 – 12, 28 – 30  p. 334 – 335: #3, 5, 6, 8, 11

28. Wrap-up  Today you learned to use properties of kites and find coordinates of a quadrilateral  Tomorrow we’ll review for the test on Chapter 6 on Wednesday Homework (R)  p. 328 – 329: #1 – 12, 28 – 30