Question
Complete a dilation with scale factor of ½ around the origin and then reflect over the y-axis. What are the new ordered pair of B'?
Answers
GPT 3.5
Let's start with a point B with coordinates (x, y).
1. Dilation with scale factor of ½ around the origin:
Applying the dilation with a scale factor of ½ around the origin to point B(x, y) gives us the new coordinates:
B'(x/2, y/2)
2. Reflect over the y-axis:
Reflecting the point B' over the y-axis will result in the new coordinates:
B'(x/2, -y/2)
Therefore, the new ordered pair of B' after the dilation with a scale factor of ½ around the origin followed by a reflection over the y-axis is (x/2, -y/2).
1. Dilation with scale factor of ½ around the origin:
Applying the dilation with a scale factor of ½ around the origin to point B(x, y) gives us the new coordinates:
B'(x/2, y/2)
2. Reflect over the y-axis:
Reflecting the point B' over the y-axis will result in the new coordinates:
B'(x/2, -y/2)
Therefore, the new ordered pair of B' after the dilation with a scale factor of ½ around the origin followed by a reflection over the y-axis is (x/2, -y/2).