Question

Determine the scale factor used in the dilation of line segment AB
𝐴
𝐵
, centered at the origin.

(1 point)
Responses

−4
−
4
negative 4

2
2

14
1
4
Start Fraction 1 over 4 End Fraction

4

Answer 1

I don't see the diagram or coordinates for A and A′ (the dilated image). Could you upload the figure or give the coordinates of a point and its image (for example A(x,y) and A′(x′,y′))?

How to find the scale factor once you have them:
- If the center is the origin, k = x′/x = y′/y (these ratios must be equal for a true dilation).
- Equivalently k = (distance from origin to image) / (distance from origin to original) = OA′ / OA.
- If k is negative the image is on the opposite side of the origin (a dilation plus a 180° rotation).

Give me one pair of corresponding points (or the picture) and I’ll compute k.