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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.

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Presentation on theme: "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."— Presentation transcript:

1 Warm up

2 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

3 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. A B C D E X ½ X If AE = 15 Find the measure of BD BD = 7.5 midsegment

4 X + 2 3X - 5 A B C D E 3X – 5 = 2(X + 2) 3X – 5 = 2X + 4 X = 9 AE = 22 units BD = 11 TRY THIS A B C D E X X AND THIS X = 2 (X) X 2 – 2X + 1 = 0 (X – 1) (X – 1) = 0 X = 1 BD = 1 units AE = 2 units

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

6 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 ? ? = X = 7 2 YEA!!

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

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

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


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