Geometry warm ups

7-5 PROPORTIONS IN TRIANGLES

Side-Splitter TheoremWhen 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