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

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Presentation on theme: "REASONING WITH SIMILARITY CONDITIONS: LESSON 14 Before we start our lesson, let’s go over our homework."— Presentation transcript:

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

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

3 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.

4 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.

5 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.

6 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

7 Homework 1.6-4 Practice: Parallel Lines and Proportional Parts (You may work in groups) 2. 7-4 Word Problem Practice: Parallel Lines and Proportional Parts(You may work in groups)


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