Question

AB is dilated by a scale factor of 3 to form A'B' . Point O, which lies on AB , is the center of dilation. The slope of AB is 3. The slope of A'B' is . through point O.

Answer 1

Given that AB has been dilated by scale factor 3 to form A'B', and by laws of dilation, the image is congruent to the pre image. This implies that the image will not change in any way whatsoever apart from the size. Hence the slope will remain the same. That means the slope of A'B' will be 3

Answer 2

Answer:

The slope of A'B'=3

Step-by-step explanation:

We are given that AB is dilated by scale factor of 3 to form A'B'.

A point O lies on  the line AB which is the center of dilation.

The slope of AB=3

We have to find the slop A'B' .

We know that

Dilation is that transformation in which shape of figure does not change but the size of figure changes. Pre-image and image obtained after dilation are similar.

Therefore, slope of A'B' does not change.

The slope of AB =Slope of A'B'=3