Question

Transformations and Similarity Unit Test
3 of 153 of 15 Items






Question
Triangle ABC
has vertices point A(−2,−2)
, 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 3
and a center point of dilation at the origin.(2 points)
A′=
(
)
B′=
(
)
C′=
(
)

Answer 1

To perform a dilation from the origin with a scale factor of 3, we multiply each coordinate of the triangle's vertices by the scale factor (3).

For point \( A(-2, -2) \):
\[
A' = (3 \times -2, 3 \times -2) = (-6, -6)
\]

For point \( B(-4, -3) \):
\[
B' = (3 \times -4, 3 \times -3) = (-12, -9)
\]

For point \( C(-2, -5) \):
\[
C' = (3 \times -2, 3 \times -5) = (-6, -15)
\]

Therefore, the coordinates after the dilation are:
- \( A' = (-6, -6) \)
- \( B' = (-12, -9) \)
- \( C' = (-6, -15) \)

Final answer:
- \( A' = (-6, -6) \)
- \( B' = (-12, -9) \)
- \( C' = (-6, -15) \)