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Determine the coordinates of H(-7, 1) after a reflection in the line x = -3.

a) H(-7, 1)
b) H(7, 1)
c) H(1, -7)
d) H(1, 7)

User Myrs
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Final answer:

The coordinates of H(-7, 1) after a reflection in the line x = -3 are (-13, 1).

Step-by-step explanation:

To determine the coordinates of the point H(-7, 1) after a reflection in the line x = -3, we need to reflect the x-coordinate about the vertical line x = -3 and keep the y-coordinate the same. Since the line of reflection is x = -3, the x-coordinate of the reflected point will be the same distance away from the line, but on the opposite side. Therefore, the coordinates of the reflected point H will be (-7 + 2*(-3), 1), which simplifies to (-7 - 6, 1), or (-13, 1).

Therefore, the correct answer is option d) H(-13, 1).

User Seungho Lee
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