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WARM UP

WARM UP. Find the value of the variables. Then find the lengths of the sides. Section 6 – 5 Trapezoids & Kites. Objective: To verify and use properties of trapezoids and kites. Base Angles :. Two angles that share a base of a trapezoid.

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WARM UP

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  1. WARM UP Find the value of the variables. Then find the lengths of the sides.

  2. Section 6 – 5Trapezoids & Kites Objective: To verify and use properties of trapezoids and kites

  3. Base Angles: Two angles that share a base of a trapezoid. Two angles that share a leg of a trapezoid are supplementary.

  4. Theorem 6 – 15 The base angles of an isosceles trapezoid are congruent.

  5. Example 1 Finding Angle Measures in Trapezoids A) ABCD is an isosceles trapezoid and m∠B = 102. Find m∠A, m∠C, and m∠D.

  6. B) In the isosceles trapezoid, find m ∠P, m ∠Q, and m ∠R.

  7. C) Half of a spider’s web is shown below, formed by layers of congruent isosceles trapezoids. Find the measure of the angles in ABDC.

  8. Theorem 6 – 16 The diagonals of an isosceles trapezoid are congruent.

  9. Example 2 Finding Lengths in Trapezoids Find the value of the variable in each isosceles trapezoid.

  10. Theorem 6 – 17 The diagonals of a kite are perpendicular

  11. Example 3 Finding Angle Measures in Kites A) Find m∠1, m∠2, and m∠3 in the kite.

  12. B) Find m ∠1, m ∠2, and m ∠3 in the kite.

  13. C) Find the values of the variables in the kite.

  14. Homework Textbook Page 322 – 324; #2 – 24 Even; #28, 29

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