8
QuizMultiple Choice

Unit Test — Unit test

Question 8 • ! MCHS (CR25) - GEOMETRY

A point has the coordinates (m, 0) and m ≠ 0.Which reflection of the point will produce an image located at (0, –m)?

Answer
A
a reflection of the point across the x-axis
B
a reflection of the point across the y-axis
C
a reflection of the point across the line y = x
D
a reflection of the point across the line y = –x

Explanation

Reflecting a point (x, y) across the line y = −x changes its coordinates to (−y, −x). Substituting (m, 0) gives (0, −m), which is the desired image. Therefore, the correct choice is a reflection across the line y = −x.

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