Question

Find the scale factor of the line segment dilation.

AB: endpoints (−6, −2) and (−6, 8) to A'B': endpoints at (−6, 0) and (−6, 5), centered at the (−6, 2)

Answer 1

D

Explanation:

1

2

5

10

=

1

2

The ratio of the length of the image to the length of the pre-image is equal to the scale factor.

Answer 2

The lengths of the segments can be calculated using:
d = √[(y₂-y₁)² + (x₂-x₁)]²
First, we calculate the length of AB using this formula:
L(AB) = 10

Then, we calculate the length of A'B':
L(A'B') = 3

Therefore, the scale factor is: L(A'B') / L(AB) = 3/10