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 transcript:

Warm-Up What is the scale factor (or similarity ratio) of the following two triangles?

Geometry 7-4 Properties of Similar Triangles

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.

Example Find the length of US.

Example Find the length of NP.

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

Example Find the length of PS and SR.

Example Find the length of SR and ST.