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Parts of Similar Triangles. Sec: 6.5 Sol:. Proportional Perimeters. If two triangles are similar, then the _____________ are proportional to the measures of corresponding sides. Remember : The perimeter is the sum of all the ______________ of a figure. Perimeters. Sides.

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proportional perimeters
Proportional Perimeters
  • If two triangles are similar, then the _____________ are proportional to the measures of corresponding sides.

Remember: The perimeter is the sum of all the ______________ of a figure.

Perimeters

Sides

Example:In the figure at the right, ABC ~ XYZ.The following proportions are true:

example
Example
  • In the figure below, ABD ~ ADC.If AD = 16, AC = 31, and DC = 23, find theperimeter of ABD.
theorem 6 8
Theorem 6.8

If two triangles are similar, then the measures of the corresponding ______________ are proportional to the measures of the corresponding sides.

Remember: The _________________ is a segment that goes from a vertex and is perpendicular to the opposite “side”.

Altitudes

Altitude

theorem 6 10
Theorem 6.10
  • If two triangles are similar, then the measures of the corresponding ________ are proportional to the measures of the corresponding sides.
    • Remember: A _______ goes from a vertex to the ________ of the opposite side.
  • Example:CAB ~ YWX. is median of CAB.is median of YWX.List some possible proportions:

Medians

Median

Middle

example1

J

E

K

I

C

D

Example:
  • In the figure is and altitude of

and is an altitude of . Find x if

.

L

G

example2
Example:
  • The Drawing represents two poles supported by wires. . Find the height of pole .

B

E

30FT

A

F

G

C

D

80FT

suggested assignments
Suggested Assignments:
  • Classwork:
  • Homework: pg 10-14e, 17, 22-26e, 28
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