REASONING WITH SIMILARITY CONDITIONS: LESSON 14 Before we start our lesson, let’s go over our homework.

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Presentation transcript:

REASONING WITH SIMILARITY CONDITIONS: LESSON 14 Before we start our lesson, let’s go over our homework.

OBJECTIVES: 1.Use proportional parts of triangles. 2.Divide a segment into parts.

DEFINITIONS: 1.Triangle Proportionality Theorem: If a line is parallel to one side of a triangle and intersects the other two sides in two distinct points, then it separates these sides into segments of proportional lengths.

2.Triangle Midsegment Theorem: a)Parallel to the 3 rd side. b)½ length of the 3 rd side. c)A segment bisector of the two sides it intersects.

Let’s look at some examples of the Triangle Proportional Theorem and Triangle Midsegment Theorem: Pull out the examples that were given to you and let’s start with Example #1.

Since you have seen some examples, let’s work out some problems together!! Pull out your worksheet 6-4: Study Guide and Intervention Worksheet!! Parallel Parts and Proportional Parts

Homework Practice: Parallel Lines and Proportional Parts (You may work in groups) Word Problem Practice: Parallel Lines and Proportional Parts(You may work in groups)