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Midsegment of a Triangle and Proportionality in Triangles

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Triangle Midsegment Theorem

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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

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Triangle Midsegment Theorem EQUATION Midsegment Parallel Side

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1. Solve for x. 18 x x = 9

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2. Solve for y. y 12 y = 24

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

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4. Solve for x. 5x – 2 4 x = 2

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

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

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

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

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

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