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.

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 Link

divyamadaan8054 divyamadaan8054 · Answer 2 · 2021-10-25T22:03:13+02:00

The slope will remain the same, So the slope of [tex]A'B'[/tex] will be [tex]3[/tex].

Step-by-step explanation:

Given: [tex]AB[/tex] is dilated by a scale factor of [tex]3[/tex] to form [tex]A'B'[/tex] . Point [tex]O[/tex], which lies on [tex]AB[/tex], is the center of dilation. The slope of [tex]AB[/tex] is [tex]3[/tex].

As mentioned in question:

Given that [tex]AB[/tex] has been dilated by scale factor [tex]3[/tex] to form [tex]A'B'[/tex].

So using 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, So the slope of [tex]A'B'[/tex] will be [tex]3[/tex].

Learn more about laws of dilation here: https://brainly.com/question/15868300?referrer=searchResults