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Warm Up:

Warm Up:. 1. 2 . What is the measure of Angle EBC?. ABCD is a rhombus. What is the measure of Angle BAE? . B. 8y + 10x – 1 . 4x + 5y. E. A. C. 12x + y. D. Trapezoids and Kites Chapter 6.5. Properties of Kites:. IF a quadrilateral is a kite, THEN its diagonals are perpendicular.

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Warm Up:

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  1. Warm Up: 1. 2. • What is the measure of Angle EBC? • ABCD is a rhombus. What is the measure of Angle BAE? B 8y + 10x – 1 4x + 5y E A C 12x + y D

  2. Trapezoids and Kites Chapter 6.5

  3. Properties of Kites: • IF a quadrilateral is a kite, THEN its diagonals are perpendicular. • IF a quadrilateral is a kite, THEN exactly one pair of opposite angles are congruent. B B A C A C D D AC __ BD <B = <D <A = <C

  4. ABCD is a kite. <BAD= 73o and <BCD= 59o. What is the measure of <CBD? B A C D

  5. Properties of Isosceles Trapezoids: • IF a quadrilateral is an isosceles trapezoid, THEN each pair of base angles are congruent. • IF a trapezoid has one pair of congruent base angles, THEN the trapezoid is isosceles. B C B C D D A A <A = <D <B = <C ABCD is isosceles

  6. Properties of Isosceles Trapezoids: • A trapezoid is isosceles IF and ONLY IF its diagonals are congruent. B C D A AC = DB ABCD is isosceles.

  7. The midsegment of a trapezoid is parallel to each base, and its length is one half the sum of the lengths of the bases. • XY = ½(BC + AD) Trapezoid Midsegment Theorem B C X Y D A

  8. What is the midsegment of the given trapezoid? BC=28 and AD=46 • Formula: XY = ½(BC + AD) B C X Y D A

  9. Special Quadrilaterals Chapter 6.6

  10. Summarizing Properties of Quadrilaterals… • Each shape has all the properties of the shapes linked above it… Quadrilateral Kite Trapezoid Parallelogram Rhombus Rectangle Isosceles Trapezoid Square

  11. Chapter 6.5 Problems Pg. 359: 10-24, 28-33, 51 Chapter 6.6 Problems Pg. 367: 19-24 Complete “Ch.6 Notes” Worksheet Study for the CHAPTER 6.4 – 6.6 QUIZ Next Class!!!

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