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Ratios of Corresponding Sides

T.i.P.S.

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Students should understand that the lengths of corresponding sides are in proportion and that similar figures are produced from dilations. Students must understand that for similar shapes there is a ratio that is proportional between a shape and its dilation. Students should have a deep understanding that prime notation means to indicate the dilated figure from the original. 

Example

Triangle ABC was dilated to create triangle A’B’C’.

83a

Write a proportion that shows the relationship between the two triangles.

Hint
Possible Solution

TEKS

Supporting Standard 8.3 Proportionality. The student applies mathematical process standards to use proportional relationships to describe dilations. The student is expected to:
(A) generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation

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