Question

AB is dilated by a scale factor of 3 to form A'B'. Point O is the center of dilation, and point O lies on AB. If the slope of AB is 3, what can be said about line A'B'?

The slope of A'B' is 6, but A'B' does not pass through O.

The slope of A'B' is 9, and A'B' passes through O.

The slope of A'B' is 9, but A'B' does not pass through O.

The slope of A'B' is 3, and A'B' passes through O.

The slope of A'B' is 3, but A'B' does not pass through O.

Answer 1

@Rachella

Answer 2

D. is my answer

Answer 3

Do you know what happens when you dilate (using center point O)?

Answer 4

the slope changes

Answer 5

Not quite - the object becomes larger.

In this problem, the scale factor is 3 so that means: \[OA' = 3\times OA\]\[OB' = 3 \times OB\]