Question

If abc was to be dilated by a factor of 5/3 from the origin to create a'b'c', what would be the y-coordinate of b'?

a) (5/3) * b
b) (3/5) * b
c) (5/3) * a
d) (3/5) * a

Answer 1

To dilate a figure by a factor of 5/3, we need to multiply each coordinate by the dilation factor. Since we want to find the y-coordinate of b', we need to multiply the y-coordinate of b by the dilation factor.

So the correct answer is (5/3) * b, which is option a)

Step-by-step explanation:

If abc was to be dilated by a factor of 5/3 from the origin to create a'b'c', and we are seeking the y-coordinate of point b', we apply the dilation factor to the original y-coordinate of point b. In a dilation, every point on the shape moves away from or towards the origin by a scale factor. Therefore, the y-coordinate of point b after dilation will be the original y-coordinate of b multiplied by the dilation factor. For point b, this coordinate transformation will be (5/3) * the y-coordinate of b, hence the y-coordinate of b' will be option (a) (5/3) * b.