5.1 – MIDSEGMENT THEOREM

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5.1 – MIDSEGMENT THEOREM

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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

Transcript of 5.1 – MIDSEGMENT THEOREM

Page 1: 5.1 – MIDSEGMENT THEOREM

5.1 – MIDSEGMENT THEOREM

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Midsegment:

Line connecting the midpoints of two sides of the triangle

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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

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8

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14

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4

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_____GJ DF

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_____________ EJ JF GK

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_____DE JK

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_____________ GJ DK KF

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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

Page 12: 5.1 – MIDSEGMENT THEOREM

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

Page 13: 5.1 – MIDSEGMENT THEOREM

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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5.1 – MIDSEGMENT THEOREM

5.1 – MIDSEGMENT THEOREM

5.1 Midsegment Theorem and Coordinate Proof

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