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Triangle Proportions

Triangle Proportions. Triangle Proportionality Theorem. If a line is parallel to one side of a triangle, then it divides the sides into segments of proportional lengths. Triangle Proportionality Theorem. Determine if VY is parallel to ZW. ZX = 18, ZV = 6, WX = 24, and YX = 16.

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Triangle Proportions

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  1. Triangle Proportions

  2. Triangle Proportionality Theorem • If a line is parallel to one side of a triangle, then it divides the sides into segments of proportional lengths.

  3. Triangle Proportionality Theorem

  4. Determine if VY is parallel to ZW ZX = 18, ZV = 6, WX = 24, and YX = 16

  5. Using Algebra….

  6. Midsegment of a Triangle… • segment with endpoints that are the midpoints of two sides of the triangle. • Every triangle has threemidsegments. • The midsegments of ∆ABC are RP, PQ, and RQ.

  7. Triangle Midsegment Theorem • A midsegment of a triangle is parallel to one side of the triangle, and its length is one half the length of that side.

  8. Triangle Midsegment Theorem

  9. Given DE, DF, and FE are the lengths of mid-segments. Find the perimeter of triangle ABC. 9 7 8

  10. Example with algebra IF AC = 3x-5 and HJ = 4x+2, what is HB?

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