Question

HELP WITH THIS QUESTION ASAP!!

Answer 1

I think the answer is option "C"

Answer 2

Answer:

Second option is the correct answer.

Step-by-step explanation:

Without stating otherwise, the centre of the dilation is (0,0), so that point is fixed.  That is, A' = (0, 0).

That immediately elimates the 1st and 3rd options.

Now look at B.  It's on the y-axis (its x-coordinate is 0), and dilating from the point (0,0), the y-axis if fixed, so B' must also be on the y-axis.  So B' must have x-coordinate 0.

The second option is correct.

(Of course, one can proceed for additional verification.  For instance, the y-coordinate of B should go to 2.5 × 3 = 7.5, and that also matches up with the second option.  The same can be done with C and D for further verification, but it is not necessary when it's multiple choice!)