Question

after a dilation, triangle a(0,0), b(6,4), c(6,0) becomes triangle a(0,0), b(15,10), c(15,0). choose the scale factor for this dilation. a 2 b 2.5 c 1.5 d 3

Explanation:

Step1: Find the ratio of corresponding - side lengths

For point B(4, 4) and B'(10, 10), we can use the x - coordinates (or y - coordinates) to find the scale factor. Let's use the x - coordinates. The x - coordinate of B is 4 and the x - coordinate of B' is 10. The scale factor k is given by the formula $k=\frac{x_{B'}}{x_{B}}$.

Step2: Calculate the scale factor

$k = \frac{10}{4}=2.5$

Answer:

B. 2.5