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Petra reflects triangle ABC across the y-axis to form its image, A'B'C'. Which coordinates represent a vertex for the image?

A. (-1, 3)
B. (1, -3)
C. (7, -2)
D. (-4, 5)

User LeYar
by
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1 Answer

4 votes

Final answer:

The correct coordinates for a vertex of the reflected triangle A'B'C' are D. (-4, 5), as reflection over the y-axis changes the sign of the x-coordinate while keeping the y-coordinate unchanged.

Step-by-step explanation:

When reflecting a triangle across the y-axis, each vertex of the triangle will have its x-coordinate change sign, while the y-coordinate remains the same. Therefore, if we have a vertex of a triangle with coordinates (x, y), the mirrored vertex in triangle A'B'C' will have coordinates (-x, y). Given the choices provided, we must look for a point that is the reflection of a point on the y-axis. The correct coordinates for a vertex of triangle A'B'C' after reflection would be the option where the original x-coordinate is negated.

The correct answer for the reflected vertex is D. (-4, 5) because the reflection of the point along the y-axis only changes the x-coordinate. If a point had an original coordinate of (4, 5), reflecting it over the y-axis would yield (-4, 5).

User Omar Alahmed
by
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