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TRAPEZOIDS / MIDSEGMENTS AND KITES Lesson 2 – 4 MATH III.

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Presentation on theme: "TRAPEZOIDS / MIDSEGMENTS AND KITES Lesson 2 – 4 MATH III."— Presentation transcript:

1 TRAPEZOIDS / MIDSEGMENTS AND KITES Lesson 2 – 4 MATH III

2 Trapezoid A quadrilateral with exactly one pair of parallel sides Isosceles trapezoid A trapezoid with congruent legs and base angles

3 Ex #1: Find ∠ 1, ∠ 2 Ex #2: Find x and y.

4 Median of a trapezoid The segment that joins the midpoints of the legs Notice each of the legs is bisected into two congruent parts.

5 The median of a trapezoid… 1. Is parallel to the bases 2. Has a length equal to half the sum of the bases

6 Ex #1: In trapezoid ABCD, EF is a median. 1. AB = 25, DC = 13, EF = ____ 2. AE = 11, FB = 8, AD = ____, BC = ____ 3. AB = 7y + 6 EF = 5y – 3 DC = y – 5 y = ____

7 Ex #2: A trapezoid and its median are shown. Find x. X + 5 3x – 1 4x – 3

8 Kites two pairs of consecutive congruent sides Diagonals are perpendicular One pair of opposite angles congruent Diagonals bisect angles

9 Find the missing angles.

10 These are kites. Find the angles.

11 What is the perimeter of the kite?


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