1. 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°

2. Section 3-7 Mid-segments of Triangles and Trapezoids

3. 3.7 Midsegments of Triangles and Trapezoids
Definitions
Def: A trapezoid is a quadrilateral with two parallel sides called bases

4. 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

5. 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

6. 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

7. 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

9. 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

10. 3.7 Midsegments of Triangles and Trapezoids
4) Find each base F G J K I H

11. 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 # and 22