Question

6 find the scale factor of figure a to figure b. a 36 25.2 b 14 20 a \\( \frac { 7 } { 10 } \\) b \\( \frac { 18 } { 7 } \\) c \\( \frac { 9 } { 5 } \\) d \\( \frac { 36 } { 25.2 } \\)

Explanation:

Step1: Recall the formula for scale factor

The scale factor from figure \(A\) to figure \(B\) is \(\frac{\text{corresponding side length of }A}{\text{corresponding side length of }B}\).

Step2: Identify corresponding side lengths

We can use the sides \(25.2\) (from figure \(A\)) and \(14\) (from figure \(B\)).

Step3: Calculate the scale factor

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We can also check with another pair of sides: \(36\) (from \(A\)) and \(20\) (from \(B\)). \(\frac{36}{20}=\frac{9}{5}\)

Answer:

C. \(\frac{9}{5}\)