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LESSON 6.5 TRAPEZOIDS AND KITES

Learn about trapezoids and kites, verify properties, and solve angle puzzles with examples and explanations. Practice problems included.

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LESSON 6.5 TRAPEZOIDS AND KITES

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

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

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

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

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

  6. EXAMPLE #1 WXYZ is an isosceles trapezoid. Find the other missing angles. Bases are in a trapezoid. Angles that share a leg are . parallel SSI mX + mW = 180 156 + mW = 180 mW = 24

  7. Base angles of an isosceles trapezoid are congruent. Y X 156 m___ = m___ = ___ Z 24 and m___ = m___ = ___ W

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

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

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