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What are the coordinates of the image of Point P (7, 6) after the triangle is reflected over the y = 3 line of reflection? Answer in the (x, y) format

Question

What are the coordinates of the image of Point P (7, 6) after the triangle is reflected over the y = 3 line of reflection? Answer in the (x, y) format

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Solution

To find the coordinates of the image of Point P (7, 6) after reflection over the line y = 3, we need to calculate the vertical distance from the point to the line of reflection and then reflect the point over the line.

  1. Calculate the vertical distance from Point P to the line of reflection (y = 3). The y-coordinate of Point P is 6, so the distance is 6 - 3 = 3 units.

  2. Reflect Point P over the line. Since the line of reflection is a horizontal line, the x-coordinate will remain the same. The y-coordinate will be 3 units below the line of reflection, because the distance to the line of reflection is 3 units. So, the y-coordinate of the reflected point is 3 - 3 = 0.

Therefore, the coordinates of the image of Point P after reflection over the line y = 3 are (7, 0).

This problem has been solved

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