Question

Help step by step explanation 90 pts and if you get it right you will get the crown

Answer 1

k=⅓

Explanation:

In order to find the scale factors of A(0,6) and B(9,3) to A'(0,2) and B'(3,1):

Find the differences in the x-coordinates and y-coordinates of the corresponding points:

• Δx = x-coordinate of B - x-coordinate of A = 9 - 0 = 9
• Δy = y-coordinate of B - y-coordinate of A = 3 - 6 = -3

Find the differences in the x-coordinates and y-coordinates of the new corresponding points:

• Δx' = x-coordinate of B' - x-coordinate of A' = 3 - 0 = 3

Δy' = y-coordinate of B' - y-coordinate of A' = 1 - 2 = -1

Calculate the ratio of the differences:

Scale factor = Δx'/Δx = 3/9 = ⅓

Theretscale factor (k) is ⅓.