Question

Dilations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Line segment AB
has endpoints A (−6, 4)
and B (−8, 2)
. Find the coordinates of A′
and B′
after a dilation with a scale factor of 12
, centered at the origin.(1 point)
A′
(
) B′
(
)

Answer 1

To find the coordinates of points \( A' \) and \( B' \) after a dilation centered at the origin with a scale factor of 12, we can use the following formula for dilation:

\[
(x,y) \to (kx, ky)
\]

where \( k \) is the scale factor.

1. **For point A (-6, 4)**:
- \( A' = (12 \times -6, 12 \times 4) \)
- \( A' = (-72, 48) \)

2. **For point B (-8, 2)**:
- \( B' = (12 \times -8, 12 \times 2) \)
- \( B' = (-96, 24) \)

Thus the coordinates after dilation are:

- \( A' (-72, 48) \)
- \( B' (-96, 24) \)

Final Answer:
- \( A' (-72, 48) \)
- \( B' (-96, 24) \)