Question

Dilations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items






Question
Triangle ABC
has vertices point A(2,1)
, point B(4,3)
, and point C(−2,5)
. Find the coordinates of A′
, B′
, and C′
after a dilation with a scale factor of 7 and a center point of dilation at the origin (0,0)
.(2 points)
A′=
(
)
B′=
(
)
C′=
(
)

Answer 1

To find the coordinates of the dilated points \( A' \), \( B' \), and \( C' \) after applying a dilation with a scale factor of 7 from the center of dilation at the origin (0,0), we will multiply each coordinate of the original points by the scale factor.

1. For point \( A(2, 1) \):
\[
A' = (2 \times 7, 1 \times 7) = (14, 7)
\]

2. For point \( B(4, 3) \):
\[
B' = (4 \times 7, 3 \times 7) = (28, 21)
\]

3. For point \( C(-2, 5) \):
\[
C' = (-2 \times 7, 5 \times 7) = (-14, 35)
\]

Thus, the coordinates after the dilation are:

- \( A' = (14, 7) \)
- \( B' = (28, 21) \)
- \( C' = (-14, 35) \)