Given ABC has vertices at A(2, 2), B(4, 5), and C(6, 3), and if the is first reflected over the y-axis and then over the x-axis, find the new coordinates of the A''.
Question
Given ABC has vertices at A(2, 2), B(4, 5), and C(6, 3), and if the is first reflected over the y-axis and then over the x-axis, find the new coordinates of the A''.
Solution
To solve this problem, we need to understand how reflection over the y-axis and x-axis works.
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Reflection over the y-axis: The rule for a reflection over the y-axis is (x, y) → (-x, y). So, if we apply this rule to point A(2, 2), we get A'(-2, 2).
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Reflection over the x-axis: The rule for a reflection over the x-axis is (x, y) → (x, -y). Now, we apply this rule to the reflected point A'(-2, 2), we get A''(-2, -2).
So, the new coordinates of the point A after reflecting over the y-axis and then the x-axis are A''(-2, -2).
Similar Questions
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