Question

1. line segments mk and ks are shown. what is the scale factor can be used to dilate ms to create mk?
2. hd is the perpendicular bisector of ky such that point d lays on ky. dk = 7y + 17, hy = 4y + 33, dy = 10y - 22, and hk = 6y + 7.

a. find the value of y.

Explanation:

Step1: For 10, count segments.

MS has 2 parts, MK has 4. Factor is $\frac{4}{2}=2$.

Step2: For 13, use perpendicular - bisector property.

Set DY = HY, solve 4y + 33=7y + 17 for y. 3y = 16, y = 5.

Answer:

1. Scale - factor is 2.
2. y = 5