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LESSON 6.5 TRAPEZOIDS AND KITES OBJECTIVE: Verify and use properties of trapezoids and kites
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Definitions base leg The base angles of a trapezoid are 2 angles that share a base of the trapezoid. base angles
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The base angles of an isosceles trapezoid are Trapezoid Theorems congruent. Theorem 6.15
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D C A B The diagonals of an isosceles trapezoid are Theorem 6.16 congruent. AC BD
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The diagonals of a kite are KITE THEOREM perpendicular. A D C B AC BD Theorem 6.17
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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. 156 + m W = 180 m W = 24 parallel SSI
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and m ___ = m ___ = ___ m ___ = m ___ = ___ Base angles of an isosceles trapezoid are congruent. W Z Y X156 24
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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 =
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Assignment: pg 322 #2-18 even, 20-25, 27 Show all work and explanations
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