Parts of similar triangles
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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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Parts of Similar Triangles

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Parts of similar triangles

Parts of Similar Triangles

Sec: 6.5

Sol:


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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