180k views
4 votes
Dilate using a scale factor of 1/3, then reflect over the y-axis.

(-30, 12), (-30, -24), (0, -24), (-18, -12)
a) (-10, 4), (10, 24), (0, 24), (6, 12)
b) (-10, 4), (10, -8), (0, -8), (6, -4)
c) (-30, 4), (-30, -8), (0, -8), (-18, -4)
d) (-10, 4), (10, -24), (0, -24), (6, -12)

User Rasshu
by
8.1k points

1 Answer

3 votes

Final answer:

After dilating each point by a scale factor of 1/3 and reflecting over the y-axis, the transformed set of points is option b) (-10, 4), (10, -8), (0, -8), (6, -4).

Step-by-step explanation:

The question involves performing two geometric transformations on a set of points in the coordinate plane: a dilation with a scale factor and a reflection over the y-axis. First, we need to dilate each point by a scale factor of 1/3, which means multiplying each coordinate (x, y) by 1/3. Then, we need to reflect the resulting points over the y-axis, which means changing the sign of the x-coordinate of each point. Let's perform these steps for each point:

  • Dilate (-30, 12) by 1/3 to get (-10, 4), then reflect over the y-axis to get (10, 4).
  • Dilate (-30, -24) by 1/3 to get (-10, -8), then reflect over the y-axis to get (10, -8).
  • Dilate (0, -24) by 1/3 to get (0, -8), then reflect over the y-axis, which does not change the point because it's already on the y-axis, so it remains (0, -8).
  • Dilate (-18, -12) by 1/3 to get (-6, -4), then reflect over the y-axis to get (6, -4).

Therefore, the correct answer is (b) (-10, 4), (10, -8), (0, -8), (6, -4).

User Egal
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories