3.7 Midsegments of Triangles and Trapezoids Warm-up Find the measures of the exterior and interior angles of a nonagon Find the missing angle 38°

Section 3-7 Mid-segments of Triangles and Trapezoids

3.7 Midsegments of Triangles and Trapezoids Definitions Def: A trapezoid is a quadrilateral with two parallel sides called bases

3.7 Midsegments of Triangles and Trapezoids Terms Def: A mid-segment of a triangle is a segment whose endpoints are the midpoints of the two sides m1 m2 The length of the mid-segment is half the length of the base

2) If XY= 7 find BC 1) XY is the mid-segment of ∆ABC. If BC = 18 3.7 Midsegments of Triangles and Trapezoids 1) XY is the mid-segment of ∆ABC. If BC = 18 Find XY A X Y B C 2) If XY= 7 find BC

3.7 Midsegments of Triangles and Trapezoids Mid-segment of a Trapezoid is a segment whose endpoints are the midpoints of the nonparallel sides. m1 m2

3.7 Midsegments of Triangles and Trapezoids The measure of the mid-segment of a trapezoid is equal to one half the sum of the bases. b1 m1 m2 b2

XY is the mid-segment of trapezoid ABCD If BC = 15 and AD = 26 find XY 3.7 Midsegments of Triangles and Trapezoids XY is the mid-segment of trapezoid ABCD If BC = 15 and AD = 26 find XY B C X Y A D

3.7 Midsegments of Triangles and Trapezoids 4) Find each base F G J K I H

Assignment Practice 3-7 and Page 187 # 10-14 and 22 3.7 Midsegments of Triangles and Trapezoids Assignment Practice 3-7 and Page 187 # 10-14 and 22