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**Lesson (6.5) Parts of Similar Triangles**

Altitude Median Angle bisector A A A B B D C M C B N C

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B C A M L N D then If Y Z E X F The perimeter of the triangle is the sum of the measures of its sides

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**Angle bisector Theorem**

If AD is an angles bisector then B C D

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**Check for understanding**

Find the perimeter of the given triangle Step1: Set up proportions. Step2: substitute the values. Step3: Cross multiply and solve for x.

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**Check for understanding**

Find x Step1: Set up proportions. Step2: Cross multiply and solve for x.

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**Check for understanding**

Find x Step1: Set up proportions. Step2: Cross multiply and solve for x.

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**Check for understanding**

Find x Step1: Use the angle bisector Theorem. Step2: Cross multiply and solve for x.

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Homework Page 320 – 322 #s (10, 14, 18, 22, 24)

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**Written Exercises page 320**

10) Find the perimeter of the given triangle Step1: Set up proportions. Step2: substitute the values. Step3: Cross multiply and solve for x.

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**Written Exercises page 320**

14) Find the perimeter of the given triangle Step1: Set up proportions. Step2: substitute the values. Step3: Cross multiply and solve for x.

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**Written Exercises page 320**

18) Step1: Set up proportions. Step2: substitute the values. Step3: Cross multiply and solve for x.

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**Written Exercises page 321**

22) Find x Step1: Set up proportions. Step2: Cross multiply and solve for x.

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**Written Exercises page 321**

24) Find x Step1: Use the angle bisector Theorem. Step2: Cross multiply and solve for x.

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Warm-Up 1 In the diagram, DE is parallel to AC. Name a pair of similar triangles and explain why they are similar.

Warm-Up 1 In the diagram, DE is parallel to AC. Name a pair of similar triangles and explain why they are similar.

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