Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1. Translations
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Exercise 29 Page 549

A translation will move the figure but will not change its side lengths or angle measures.

r=100
s=8
t=5
w=54

Practice makes perfect

A translation moves a figure from one position to another without changing the side lengths or angle measures. Therefore, we can compare the values in the red and blue polygons to calculate the variables.

We can use these relationships to form equations for the corresponding lengths and angles. cc r=100 & s=8 10=2t & 162=3w Immediately, we know that r=100 and s=8. The other two relationships require us to solve the equations. Let's do it!

lc10=2t & (I) 162=3w & (II)
â–¼
Solve for t & w

(I), (II): Rearrange equation

l2t=10 3w=162
lt=5 3w=162
lt=5 w=54