Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines intersect other lines, proportional segments are.

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Presentation transcript:

Geometry warm ups

7-5 PROPORTIONS IN TRIANGLES

Side-Splitter Theorem When two or more parallel lines intersect other lines, proportional segments are formed. (Copy the picture and the Then…part)

Problem 1 What is the value of x? x = 3

Try with a Partner What is the value of a? a = 8

Corollary

Problem 2

Triangle-Angle-Bisector Theorem The bisector of an angle of a triangle divides the opposite side into two segments with lengths proportional to the sides of the triangle that form the angle.

Problem 3 What is the value of x?

Try on your own What is the value of y in the diagram?

Try with your Partner What is the value of x?

Homework Pg. 475 # 9 – 22 all, 38 – 40