Warm up

3.7 Midsegments of Triangles & Trapezoids FYI 3.7 today 3.8 next time Review the time after that... Then… Chapter 3 test the time after that

Midsegment of a triangle A segment whose endpoints are the midpoints of two sides. It is parallel to one side of the triangle and its measure is ½ of that side. If AE = 15 Find the measure of BD A B C D E X ½ X midsegment BD = 7.5

TRY THIS AND THIS 3X - 5 X + 2 A B C D E 3X – 5 = 2(X + 2) AE = 22 units BD = 11 X2 + 1 = 2 (X) X2 – 2X + 1 = 0 (X – 1) (X – 1) = 0 X = 1 BD = 1 units AE = 2 units AND THIS A B C D E X2 + 1 X

Midsegment of a Trapezoid A segment whose endpoints are the midpoints of the NON-PARALLEL sides. It’s parallel to the bases and its measure = (Sum of the bases) 2 BASES Midsegment

Try this Find the lengths of the parallel segments when x = 2 A B C Z Y M X X + 5 ? AM = 2 BY = 7 CZ = 12 Check to make sure these numbers work… Find ? 2 + 12 = 7 2 ? = X + 10 YEA!!

Try this… and this… BY = 28 C X Y B A Z If AZ = 25 and CX = 31, find BY BY = 28 and this… C X If AZ = x2 + 4x - 36 and CX = x2 + 2x - 40 and BY = 16 Find the lengths of the bases Y B A Z

Find the lengths of BD and AE if Uno mas Find the lengths of BD and AE if BD = 4x – 4 and AE = 10x – 12 2(4x-4) = 10x – 12 8x – 8 = 10x -12 4 = 2x X = 2 BD = 4 AE = 8 B C D E A

Assignment Pg 186, 5-8, 10-16, 22, 28-30, 32-40