Given ABC with points A = (5, 3), B = (-1, 3), C = (-4, 6), and if the is first reflected over the x-axis, and then over the y-axis, find the new location of A''.
Question
Given ABC with points A = (5, 3), B = (-1, 3), C = (-4, 6), and if the is first reflected over the x-axis, and then over the y-axis, find the new location of A''.
Solution
To find the new location of point A after the reflections, we need to follow these steps:
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Reflect over the x-axis: The reflection of a point over the x-axis changes the sign of the y-coordinate while the x-coordinate remains the same. So, the new coordinates of A' (the image of A after reflection in the x-axis) will be (5, -3).
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Reflect over the y-axis: The reflection of a point over the y-axis changes the sign of the x-coordinate while the y-coordinate remains the same. So, the new coordinates of A'' (the image of A' after reflection in the y-axis) will be (-5, -3).
So, the new location of A'' is (-5, -3).
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