23.7 Midsegments of Triangles & Trapezoids FYI3.7 today3.8 next timeReview the time after that...Then… Chapter 3 test the time after that
3Midsegment 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 = 15Find the measure of BDABCDEX½ XmidsegmentBD = 7.5
4TRY THIS AND THIS 3X - 5 X + 2 A B C D E 3X – 5 = 2(X + 2) AE = 22 unitsBD = 11X2 + 1 = 2 (X)X2 – 2X + 1 = 0(X – 1) (X – 1) = 0X = 1BD = 1 unitsAE = 2 unitsAND THISABCDEX2 + 1X
5Midsegment of a Trapezoid A segment whose endpoints are the midpoints of the NON-PARALLEL sides.It’s parallel to the bases andits measure = (Sum of the bases)2BASESMidsegment
6Try thisFind the lengths of the parallel segments when x = 2ABCZYMXX + 5?AM = 2BY = 7CZ = 12Check to make sure these numbers work…Find ?= 72? = X + 10YEA!!
7Try this… and this… BY = 28 C X Y B A Z If AZ = 25 and CX = 31, find BYBY = 28and this…CXIf AZ = x2 + 4x - 36 andCX = x2 + 2x - 40 and BY = 16Find the lengths of the basesYBAZ
8Find the lengths of BD and AE if Uno masFind the lengths of BD and AE ifBD = 4x – 4 and AE = 10x – 122(4x-4) = 10x – 128x – 8 = 10x -124 = 2xX = 2BD = AE = 8BCDEA