Question
Making Predictions with Transformations Quick Check 3 of 53 of 5 Items Question Which transformation would result in the same image as a composition transformation of reflections across the x-axis and then the y-axis?(1 point) Responses a dilation a dilation a 90-degree rotation a 90-degree rotation a 180-degree rotation a 180-degree rotation a reflection a reflection Skip to navigation page 8 of 8 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
Answers
GPT-4o mini
The composition of a reflection across the x-axis followed by a reflection across the y-axis results in a 180-degree rotation.
When you reflect a point over the x-axis, its y-coordinate changes sign. Then, reflecting that new point over the y-axis changes the sign of its x-coordinate. The overall effect is equivalent to rotating the point 180 degrees around the origin.
So, the correct answer is **a 180-degree rotation**.
When you reflect a point over the x-axis, its y-coordinate changes sign. Then, reflecting that new point over the y-axis changes the sign of its x-coordinate. The overall effect is equivalent to rotating the point 180 degrees around the origin.
So, the correct answer is **a 180-degree rotation**.