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Warm-Up What is the scale factor (or similarity ratio) of the following two triangles? 6 9 15 8 12 20.

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Presentation on theme: "Warm-Up What is the scale factor (or similarity ratio) of the following two triangles? 6 9 15 8 12 20."— Presentation transcript:

1 Warm-Up What is the scale factor (or similarity ratio) of the following two triangles? 6 9 15 8 12 20

2 Geometry 7-4 Properties of Similar Triangles

3 First Theorem If a line cuts through a triangle and is parallel to one side, the other two sides of the triangle are divided proportionally.

4 Example Find the length of US.

5 Example Find the length of NP.

6 Second Theorem An angle bisector divides its opposite side into two lengths that are proportional to the other sides of the triangle.

7 Example Find the length of PS and SR.

8 Example Find the length of SR and ST.

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