what is the scale factor of the dilation? scale factor =
what is the scale factor of the dilation? scale factor =
Answer
Explanation:
Step1: Find the length of a corresponding side in the original and dilated figure
In the original triangle, (CB = 4) (since (B) is at (x = 4) and (C) is at (x = 0)). In the dilated triangle, (C B'=8) (since (B') is at (x = 8) and (C) is at (x = 0)).
Step2: Calculate the scale factor
The formula for the scale factor (k) of a dilation is (k=\frac{\text{length of side in dilated figure}}{\text{length of corresponding side in original figure}}). So (k=\frac{CB'}{CB}). Substituting the values, we get (k = \frac{8}{4}).
Answer:
(2)