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5.1 – MIDSEGMENT THEOREM. Midsegment:. Line connecting the midpoints of two sides of the triangle. Midsegment Theorem:. The segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long as that side. x. 2 x. 8. 14. 4. - PowerPoint PPT Presentation
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5.1 – MIDSEGMENT THEOREM
Midsegment:
Line connecting the midpoints of two sides of the triangle
Midsegment Theorem:
The segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long as that side.
x
2x
8
14
4
_____GJ DF
_____________ EJ JF GK
_____DE JK
_____________ GJ DK KF
If UW= 4x – 1 and YZ = 5x + 4, find UW and YZ.
4x – 1
5x + 45x + 4 = 2(4x – 1)
5x + 4 = 8x – 2
4 = 3x – 2 6 = 3x2 = x
UW = 4(2)-1 = 7
YZ = 5(2)+4 = 14
If YX= 8x – 2 and VW = 2x + 11, find YX and VW.
8x –
2
2x +
11
8x – 2 = 2(2x + 11)
8x – 2 = 4x + 22 4x – 2 = 22
4x = 24 x = 6
VW = 2(6)+11 = 23
YX = 8(6)-2 = 46
5.1 298-301 1, 3-11, 24-26, 47-52
HW Problems
#26
7z -
14z
- 37z - 1 = 2(4z – 3)
7z - 1 = 8z – 6
-1 = z – 6 5 = z
GH = 7(5)-1 = 34
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