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Proportions in Triangles

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Presentation on theme: "Proportions in Triangles"— Presentation transcript:

1 Proportions in Triangles

2 Side-Splitter Theorem
Theorem 7-4: 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. OR

3 Side-Splitter Theorem
Find the value of x. Find the value of x.

4 Corollary to Side-Splitter Theorem
Corollary to Theorem 7-4: If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional.

5 Application Given that the edges of the panels of the sails are parallel, find the values of the variables.

6 Your turn . . . Find the values of the variables in the following figure.

7 Triangle-Angle-Bisector Theorem
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.

8 Triangle-Angle-Bisector Theorem
Find the value of x in the following figure. Find the value of x in the following figure.

9 Kick it up a notch!!! Find the value of x.

10 Kick it up a notch!!! Find the value of x.

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