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Lesson (6.5) Parts of Similar Triangles BC A D Altitude BC A N Median Angle bisector BC A M.

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Presentation on theme: "Lesson (6.5) Parts of Similar Triangles BC A D Altitude BC A N Median Angle bisector BC A M."— Presentation transcript:

1 Lesson (6.5) Parts of Similar Triangles BC A D Altitude BC A N Median Angle bisector BC A M

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

3 Angle bisector Theorem BC A D If AD is an angles bisector then

4 Check for understanding Find the perimeter of the given triangle Step1: Set up proportions. Step3: Cross multiply and solve for x. 5 Step2: substitute the values.

5 Check for understanding Find x Step1: Set up proportions. Step2: Cross multiply and solve for x. 13 13

6 Check for understanding Find x Step1: Set up proportions. Step2: Cross multiply and solve for x. 4 4

7 Check for understanding Find x Step1: Use the angle bisector Theorem. Step2: Cross multiply and solve for x. 8 8

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

9 Written Exercises page 320 Find the perimeter of the given triangle Step1: Set up proportions. Step3: Cross multiply and solve for x. Step2: substitute the values. 10)

10 Written Exercises page 320 Find the perimeter of the given triangle Step1: Set up proportions. Step3: Cross multiply and solve for x. Step2: substitute the values. 14)

11 Written Exercises page 320 Step1: Set up proportions. Step3: Cross multiply and solve for x. Step2: substitute the values. 18)

12 Find x Step1: Set up proportions. Step2: Cross multiply and solve for x. Written Exercises page 321 22)

13 Find x Step1: Use the angle bisector Theorem. Step2: Cross multiply and solve for x. Written Exercises page 321 24)


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