LESSON 6.5 TRAPEZOIDS AND KITES OBJECTIVE: Verify and use properties of trapezoids and kites.

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6.5 Trapezoids and Kites.

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LESSON 6.5 TRAPEZOIDS AND KITES OBJECTIVE: Verify and use properties of trapezoids and kites

Definitions base leg The base angles of a trapezoid are 2 angles that share a base of the trapezoid. base angles

The base angles of an isosceles trapezoid are Trapezoid Theorems congruent. Theorem 6.15

D C A B The diagonals of an isosceles trapezoid are Theorem 6.16 congruent. AC  BD

The diagonals of a kite are KITE THEOREM perpendicular. A D C B AC  BD Theorem 6.17

EXAMPLE #1WXYZ is an isosceles trapezoid. Find the other missing angles. m  X + m  W = 180 Bases are in a trapezoid. Angles that share a leg are m  W = 180 m  W = 24  parallel SSI

and m  ___ = m  ___ = ___  m  ___ = m  ___ = ___  Base angles of an isosceles trapezoid are congruent. W Z Y X156 24

diagonals of a kite are perpendicular. EXAMPLE #2 Find m  1, m  2, m  3 in the kite. Explain. m  1 = 90  72  18  ΔRSU is isosceles and base angles of an isosceles triangle are . triangle sum. m  2 = m  3 =

Assignment: pg 322 #2-18 even, 20-25, 27 Show all work and explanations