Lesson (6.5) Parts of Similar Triangles

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Presentation transcript:

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

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

Angle bisector Theorem If AD is an angles bisector then B C D

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. 5 5

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

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

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

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

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.

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.

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

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

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