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Geometry Section 8.5 Use Properties of Trapezoids and Kites.

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Presentation on theme: "Geometry Section 8.5 Use Properties of Trapezoids and Kites."— Presentation transcript:

1 Geometry Section 8.5 Use Properties of Trapezoids and Kites

2 Trapezoid Quadrilateral with exactly one pair of parallel sides (bases) If the legs of a trapezoid are congruent, then it is an isosceles trapezoid leg base Base angles

3 Isosceles Trapezoid Theorems If a trapezoid is isosceles, then each pair of base angles is congruent

4 If a trapezoid has a pair of congruent base angles, then it is and isosceles trapezoid.

5 A trapezoid is isosceles iff its diagonals are congruent.

6 Midsegment of a trapezoid The segment that connects the midpoints of its legs

7 Midsegment Theorem for Trapezoids The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases

8 Kite A quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent

9 Kite Diagonal Theorem If a quadrilateral is a kite, then its diagonals are perpendicular

10 Theorem If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent

11 Examples Classzone

12 Assignment Section 8.5 Page 546 Problems #4 – 26 even, 34, 36


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