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01/07 - rotations & dilation practice l rectangle abcd is similar to re…

Question

01/07 - rotations & dilation practice l
rectangle abcd is similar to rectangle efgh
(diagram of two rectangles: abcd with height 6 in. and width 10 in.; efgh with height 15 in. and width 25 in.)
what is the scale factor from rectangle abcd to rectangle efgh
scale factor = blank box

Explanation:

Step1: Identify corresponding sides

For similar rectangles, we can take corresponding sides. Let's take the height of ABCD (6 in) and height of EFGH (15 in), or length of ABCD (10 in) and length of EFGH (25 in).

Step2: Calculate scale factor

Scale factor is the ratio of the length of EFGH to ABCD. Using length: $\frac{25}{10} = 2.5$ or using height: $\frac{15}{6} = 2.5$.

Answer:

2.5