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Parts of Similar Triangles

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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  1. Parts of Similar Triangles Sec: 6.5 Sol:

  2. 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:

  3. Example • In the figure below, ABD ~ ADC.If AD = 16, AC = 31, and DC = 23, find theperimeter of ABD.

  4. 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

  5. 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

  6. J E K I C D Example: • In the figure is and altitude of and is an altitude of . Find x if . L G

  7. Example: • The Drawing represents two poles supported by wires. . Find the height of pole . B E 30FT A F G C D 80FT

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

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