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Rectangle ABCD was dilated to create rectangle A'B'C'D.


Calculate the scale factor for the dilation. What is AB?


6 units


7.6 units


9.5 units


12 units

Rectangle ABCD was dilated to create rectangle A B C D. Calculate the scale factor for the dilation. What is AB? 6 units 7.6 units 9.5 units 12 units class=

Verified Answer :

The first thing we must do for this case is to calculate the scale factor.

For this, we make the relationship between two parallel sides.

We have then:

\(k =\frac{B'C'}{BC}
\)

Substituting values we have:

\(k = \frac{9.5}{3.8}

k = 2.5
\)

We are now looking for the value of AB

We have then:

\(AB = \frac{A'B'}{k}
\)

Substituting values:

\(AB = \frac{15}{2.5}

AB = 6
\)

Answer:

The scale factor is:


\(k = 2.5
\)

The value of AB is:

\(AB = 6\)

Answer:

The answer is 6

Step-by-step explanation

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