Answer:
The scale factor of the following dilation is, 0.5
Step-by-step explanation:
The rule of dilation with scale factor k is given by:
[tex](x, y) \rightarrow (kx, ky)[/tex]
As per the statement:
Given the following dilation:
(10, 0) → (5, 0) .....[1]
We have to find the scale factor.
Using the above rule we have;
[tex](10, 0) \rightarrow (10k, 0k)[/tex]
Now compare this with equation [1] we have;
(10k, 0) = (5, 0)
⇒10k = 5
After solving we get;
[tex]k = \frac{1}{2}=0.5[/tex]
Therefore, the scale factor of the following dilation is, 0.5
Answer:
So the answer is 0.5
Step-by-step explanation:
We'll assume the dilation was done at the origin point, so it was done evenly.
Since the k point went from (10,0) to (5,0), we know it was reduced... so the scale factor has to be below 1. A scale factor means the size wasn't changed and a dilation/scale factor larger than 1 means it was enlarged.
So, we take the new X-value (5) and divide it by the original X-value (10).
Scale factor = 5/10 = 1/2... so 0.5
