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Midsegment of a Triangle and Proportionality in Triangles.

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Presentation on theme: "Midsegment of a Triangle and Proportionality in Triangles."— Presentation transcript:

1 Midsegment of a Triangle and Proportionality in Triangles

2 Triangle Midsegment Theorem

3 Triangle Midsegment 1. Parallel to one side of the triangle 2. Is half the length of the parallel side 3. Connects to the midpoints midsegment

4 Triangle Midsegment Theorem EQUATION Midsegment Parallel Side

5 1. Solve for x. 18 x x = 9

6 2. Solve for y. y 12 y = 24

7 3. Solve for x. 84 3x x = 14

8 4. Solve for x. 5x – 2 4 x = 2

9 5. Solve for the missing variables. 24 x x = 12 11 47  yy z y = 133  z = 11

10 Proportional Parts of Triangles Be consistent with how you set up the proportion.

11 6. Solve for x. 4 x 6 18 x = 8

12 7. Solve for x. 8 4 x 10 y = 20

13 Textbook p. 200 #11 – 16, 21 – 27 p. 276 #1 – 5, 8, 9, 15 – 20 p. 283 #4 & 5


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