1 / 21

Chapter 8 Section 8.5

Chapter 8 Section 8.5. Kites and Trapezoids. USE PROPERTIES OF KITES AND TRAPEZOIDS. Definition Trapezoid. A. B. D. C. Trapezoid ABCD with Bases. USE PROPERTIES OF KITES AND TRAPEZOIDS. Trapezoid Vocabulary. A. B. D. C. Legs – Non-parallel sides.

bree
Download Presentation

Chapter 8 Section 8.5

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 8Section 8.5 Kites and Trapezoids

  2. USE PROPERTIES OF KITES AND TRAPEZOIDS Definition Trapezoid A B D C Trapezoid ABCD with Bases

  3. USE PROPERTIES OF KITES AND TRAPEZOIDS Trapezoid Vocabulary A B D C Legs – Non-parallel sides Congruent legs make the trapezoid Isosceles Base Angles – Angle formed by a base and a leg Congruent base angles makes the trapezoid Isosceles

  4. USE PROPERTIES OF KITES AND TRAPEZOIDS M L J K B D E A F C

  5. USE PROPERTIES OF KITES AND TRAPEZOIDS Trapezoid ABCD is Isosceles mD = mC = 112 mA = mB = x mA + mB + mC + mD = 360 x + x +112 + 112 = 360 2x + 224 = 360 2x = 136 x = 68

  6. USE PROPERTIES OF KITES AND TRAPEZOIDS A and D are Supplementary mA + mD = 180 mA + 90 = 180 mA = 90 B and C are Supplementary mB + mC = 180 132 + mC = 180 mC = 48

  7. USE PROPERTIES OF KITES AND TRAPEZOIDS Trapezoid ABCD is Isosceles mD = mC = 77 mA = mB = x mA + mB + mC + mD = 360 x + x +77 + 77 = 360 2x + 154 = 360 2x = 206 x = 103

  8. USE PROPERTIES OF KITES AND TRAPEZOIDS Theorem P Q S R Trapezoid PQSR is Isosceles And Base Angles are  P  Q and R  S

  9. USE PROPERTIES OF KITES AND TRAPEZOIDS Theorem is a midsegment of Trapezoid ABCD A B P Q D C

  10. USE PROPERTIES OF KITES AND TRAPEZOIDS The length of the midsegment is equal to half the sum of the bases

  11. USE PROPERTIES OF KITES AND TRAPEZOIDS The length of the midsegment is equal to half the sum of the bases

  12. USE PROPERTIES OF KITES AND TRAPEZOIDS The length of the midsegment is equal to half the sum of the bases

  13. USE PROPERTIES OF KITES AND TRAPEZOIDS Definition Kite Kite GHJK

  14. USE PROPERTIES OF KITES AND TRAPEZOIDS Theorem Kite GHJK

  15. USE PROPERTIES OF KITES AND TRAPEZOIDS Since the Diagonals are Perpendicular we can use the pythagorean theorem (AT)2 = 52 + 82 (MA)2 = 52 + 62 (MA)2 = 25 + 36 (AT)2 = 25 + 64 (MA)2 = 61 (AT)2 = 89

  16. USE PROPERTIES OF KITES AND TRAPEZOIDS Theorem H  K Kite GHJK

  17. USE PROPERTIES OF KITES AND TRAPEZOIDS mA = mH = x mT = 74, mM = 27 mA + mH + mM + mT = 360 x + x + 74 +27 = 360 2x + 101 = 360 2x = 259 One pair of Opposite angles are congruent

  18. USE PROPERTIES OF KITES AND TRAPEZOIDS One pair of Opposite angles are congruent mA = mH = 118, mT = x mA + mH + mM + mT = 360 118 + 118 + 81 + x = 360 x + 317 = 360 x = 43

  19. USE PROPERTIES OF KITES AND TRAPEZOIDS 3. Definition  ’s 4. Definition Isosceles Trapezoid

  20. USE PROPERTIES OF KITES AND TRAPEZOIDS Quadrialteral with one pair of opp sides || and  base ’s is isosceles Trapezoid

  21. HW #73Pg 546-547 #1-32 

More Related