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7-4 Parallel Lines and Proportional Parts

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1 7-4 Parallel Lines and Proportional Parts
Vocab: Midsegment of a triangle: a segment with endpoints that are the midpoints of 2 sides of a triangle. The midsegment is half the length of the side. Theorem: Triangle Proportionality Theorem: If 𝑋𝑌 ∥ 𝑅𝑆 , then 𝑅𝑋 𝑋𝑇 = 𝑆𝑌 𝑌𝑇

2 Find the length of a side
Ex 1: In △ABC, 𝐸𝐹 ∥ 𝐶𝐵 . Find x. Ex 2: Find x.

3 Determine if lines are parallel
Ex 3: In △GHJ, HK = 5, KG = 10, JL = 6 and LG = 12. Is 𝐻𝐾 ∥ 𝐾𝐿 ?

4 Proportional Parts Ex 4: Solve for x and y Ex 5: Solve for x

5 Classwork/Homework P even


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