Question
A line segment has endpoint (1,1) and (4,4). Demonstrating the properties of reflections across the y-axis, what are the reflected end points?
Answers
Answered by
GPT 3.5
To reflect a point across the y-axis, we need to change the sign of its x-coordinate while keeping the y-coordinate the same.
The initial endpoint is (1, 1). When we reflect this point across the y-axis, the x-coordinate changes to its negative value, and the y-coordinate remains the same. Therefore, the reflected endpoint is (-1, 1).
Similarly, the initial endpoint is (4, 4). When we reflect this point across the y-axis, the x-coordinate changes to its negative value, and the y-coordinate remains the same. Therefore, the reflected endpoint is (-4, 4).
So, the reflected endpoints across the y-axis are (-1, 1) and (-4, 4).
The initial endpoint is (1, 1). When we reflect this point across the y-axis, the x-coordinate changes to its negative value, and the y-coordinate remains the same. Therefore, the reflected endpoint is (-1, 1).
Similarly, the initial endpoint is (4, 4). When we reflect this point across the y-axis, the x-coordinate changes to its negative value, and the y-coordinate remains the same. Therefore, the reflected endpoint is (-4, 4).
So, the reflected endpoints across the y-axis are (-1, 1) and (-4, 4).
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