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6-6:Trapezoids and Kites

6-6:Trapezoids and Kites. CP Geometry Mr. Gallo. What is a Trapezoid. If a quadrilateral is a trapezoid, _________________ _______________________. then it has exactly. one pair of parallel sides. Trapezoid. Base. leg. Base Angles. leg. Isosceles Trapezoid. Base. Base.

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6-6:Trapezoids and Kites

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  1. 6-6:Trapezoids and Kites CP Geometry Mr. Gallo

  2. What is a Trapezoid If a quadrilateral is a trapezoid, _________________ _______________________. then it has exactly one pair of parallel sides Trapezoid Base leg Base Angles leg Isosceles Trapezoid Base Base The legs in an isosceles trapezoid are congruent. leg leg Base Angles Base

  3. Theorem 6-19 If a quadrilateral is an isosceles trapezoid, _______________________________________. then each pair of base angles is congruent Then the following angles are congruent: Complete Got It? #1 p. 390 a. b. Yes; so SSI angles are supplementary.

  4. What are the values of x and y in the isosceles triangle below if is a midsegment?

  5. Theorem 6-20 If a quadrilateral is an isosceles trapezoid, ______________________________. then its diagonals are congruent The diagonals of isosceles trapezoid ABCD are: ____ & ____

  6. Theorem 6-21 If a quadrilateral is a trapezoid then: 1). _____________________________________ 2). _____________________________________ _____________________________________ the midsegment is parallel to the bases the length of the midsegment is half the sum of the lengths of the bases

  7. is the midsegment of trapezoid WXYZ. What is x?

  8. What is a Kite then it has two pairs of If a quadrilateral is a kite, _____________________ ____________________________________________ ________________. consecutive sides congruent and no opposite sides congruent Another example of a kite

  9. Theorem 6-20 If a quadrilateral is a kite, __________________________________. then its diagonals are perpendicular The diagonals of kite ABCD are: ____ & ____

  10. Properties of Kites

  11. Homework: p.394 #7-23 odd, 28-36 even

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