7-5 Proportions in Triangles

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Presentation transcript:

7-5 Proportions in Triangles

Side-Splitter Theorems Side-Splitter Theorem: If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. Corollary to the Side-Splitter Theorem: If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional.

Using the Side-Splitter Theorem What is the value of x?

 What is the value of a?

Finding a Length Three campsites are shown. What is the length of Site A along the river?  What is the length of Site C along the road?

Angle Bisectors Triangle Angle Bisector Theorem: If a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the other two sides of the triangle.

Using the Triangle Angle Bisector Theorem What is the value of x?

 What is the value of y?