If FG=3/4 miles and LM=1.5 miles, then the scale factor for the dilation is _____.
I got .5. I need help please.
S.F. = 1.5/ 0.75 = 2.
To find the scale factor for a dilation, you can use the formula:
Scale factor = Image length / Pre-image length
In this case, the image length is FG, which is given as 3/4 miles, and the pre-image length is LM, which is given as 1.5 miles. Plugging these values into the formula:
Scale factor = (3/4) miles / 1.5 miles
To divide fractions, you can multiply the numerator of the first fraction by the denominator of the second fraction:
Scale factor = (3/4) * (1/1.5)
Now, to multiply fractions, you simply multiply the numerators and denominators:
Scale factor = (3 * 1) / (4 * 1.5)
Simplifying further:
Scale factor = 3 / 6
Since both numerator and denominator are divisible by 3, you can divide them both by 3:
Scale factor = 1 / 2
So the scale factor for the dilation is 1/2 or 0.5.
Hence, your answer of 0.5 for the scale factor is correct.