Given ABC at A (-3, 2), B (-1, 3), C (-4, 5), and if the is first reflected over the y-axis, and then over the x-axis, find the coordinate ofA''.
Question
Given ABC at A (-3, 2), B (-1, 3), C (-4, 5), and if the is first reflected over the y-axis, and then over the x-axis, find the coordinate ofA''.
Solution
Step 1: Reflect over the y-axis
When a point is reflected over the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same.
So, the reflection of point A(-3, 2) over the y-axis will be A' (3, 2).
Step 2: Reflect over the x-axis
When a point is reflected over the x-axis, the y-coordinate changes its sign while the x-coordinate remains the same.
So, the reflection of point A'(3, 2) over the x-axis will be A'' (3, -2).
Therefore, the coordinates of A'' after the point A is first reflected over the y-axis, and then over the x-axis, are (3, -2).
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