Line segment x’y’has endpoints located at x prime (0,8) and y prime (0,2). it was dilated at a scale factor of 2 from center (0,2). which statement describes the pre-image?
a) line segment xy is located at x (0,1) and y (0,5) and if half the length of line segment x’y’
b) line segment xy is located at x (0,1) and y (0,5) and is twice the length of line segment x’y’
c) line segment xy is located at x (0,5) and y (0,2) and is half the length of line segment x’y’
d) line segment xy is located at x (0,5) and y (0,2) and is twice the length of line segment x’y’

Option C.

Step-by-step explanation:

The coordinates of image are X'(0,8) and Y'(0,2).

It is given that it was dilated at a scale factor of 2 from center (0,2). It means Y = Y'(0,2).

Divide both sides by 2.

It means line segment XY is half the length of line segment X’Y’.

Since X'Y'=2(XY) also Y=Y', therefore X must be the midpoint of X'Y'.

Therefore, the line segment XY is located at X (0,5) and Y (0,2).

segment XY is located at X (0, 5) and Y (0, 2) and is half the length of segment X prime Y prime.

Step-by-step explanation:

I took the test

i’m here for points.

the correct option is b

step-by-step explanation: