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question 2 find the scale factor. a. 0.4 b. 2.5 c. 0.5

Question

question 2 find the scale factor. a. 0.4 b. 2.5 c. 0.5

Explanation:

Step1: Recall scale - factor formula

The scale factor from a smaller figure to a larger figure is given by the ratio of the corresponding side - lengths of the larger figure to the smaller figure. Let the side - length of the smaller triangle be $a = 4$ cm and the side - length of the larger triangle be $b = 10$ cm.
The scale factor $k=\frac{b}{a}$.

Step2: Calculate the scale factor

Substitute $a = 4$ and $b = 10$ into the formula: $k=\frac{10}{4}=\frac{5}{2}=2.5$.

Answer:

b. 2.5