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

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Presentation transcript:

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

AC __ BD <B = <D <A = <C  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. A D C B A D C B

A D C B

<A = <D <B = <C ABCD is isosceles  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. A D CB A D CB

AC = DB ABCD is isosceles.  A trapezoid is isosceles IF and ONLY IF its diagonals are congruent. A D CB

 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) A D C B Y X

 Formula: XY = ½(BC + AD) A D C B Y X

 Each shape has all the properties of the shapes linked above it…

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