Midsegment of a Triangle and Proportionality in Triangles.

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Presentation transcript:

Midsegment of a Triangle and Proportionality in Triangles

Triangle Midsegment Theorem

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

Triangle Midsegment Theorem EQUATION Midsegment Parallel Side

1. Solve for x. 18 x x = 9

2. Solve for y. y 12 y = 24

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

4. Solve for x. 5x – 2 4 x = 2

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

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

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

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

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