1. P ROPERTIES OF T RAPEZOIDS AND K ITES Geometry CP1 (Holt 6-6)K. Santos

2. K ITE

3. T HEOREM 6-6-1

4. T HEOREM 6-6-2

5. O THER K ITE O BSERVATIONS --adjacent sides congruent --no parallel sides --1 pair opposite angles congruent --diagonals perpendicular --one diagonal bisects angles formed by adjacent sides --one diagonal is bisected --symmetry about one diagonal --two sets of congruent right triangles

6. K ITE E XAMPLE

7. T RAPEZOID

8. I SOSCELES T RAPEZOID

9. T HEOREM 6-6-3

10. T HEOREM 6-6-4

11. T HEOREM 6-6-5

12. E XAMPLE —T RAPEZOID -- ANGLES

13. E XAMPLE —T RAPEZOID --D IAGONALS AD = 12x -11 and BC = 9x - 2. Find the value of x so that ABCD is an isosceles trapezoid. A B C D AD = BC 12x – 11 = 9x – 2 3x -11 = -2 3x = 9 x = 3

14. M IDSEGMENT OF A TRAPEZOID

15. T RAPEZOID M IDSEGMENT T HEOREM (6-6-6)

16. E XAMPLE --M IDSEGMENT

18. E XAMPLE —M IDSEGMENT ( ALGEBRAIC )