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?