Question

Which of these ordered pairs could not be a dilation of (8, -4)?

Answer 1

For a dilation, both the X and Y values would need to keep the same ratio.

If you divide or multiply the X value by a number, you need to divide or multiply the Y value with the same number.

8/4 = 2, -4/4 = -1   First choice is a dilation.

Since we already know 8/4 = 2 and -4/4 = -1, then we can see that the 2nd choice is not a dilation.

Answer 2

Hello!

To figure this out we know that each number in the ordered pair must be multiplied or by divided by the same number. We will see if each number has the same multiplier or divisor below.

8/4=2  
-4/4=-1
(2,-1) is a dilation.

8/4=2
-4/4=-1≠-2

(2,-2) is not a dilation. The two numbers do not have the same divisor to get to the final figure.

I hope this helps!