Question & Answer

Suppose ΔFGH is reflected across the y-axis. Which new vertices are correct?

Suppose ΔFGH is reflected across the y-axis. Which new vertices are correct?
A F'(-4, 1)
B F'(-4, -1)
C G'(-7, -1)
D H'(-8, 2)
E H'(-8, -2)

1 Answer

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Quizzma TeamMay 1, 2025

To find the new vertices after reflecting the triangle ΔFGH across the y-axis, we need to remember that when a point (x, y) is reflected over the y-axis, its new coordinates will be (-x, y).

Let’s analyze the options based on this rule:

1. A F'(-4, 1) → If F was (4, 1), then F’ is correct.
2. B F'(-4, -1) → If F was (4, -1), then F’ is correct.
3. C G'(-7, -1) → If G was (7, -1), then G’ is correct.
4. D H'(-8, 2) → If H was (8, 2), then H’ is correct.
5. E H'(-8, -2) → If H was (8, -2), then H’ is correct.

To determine which vertices are correct, I would need the original coordinates of points F, G, and H. Without those, I cannot confirm the accuracy.

However, if you need to test each reflected point based on possible original coordinates:

1. A (if F is (4, 1) is correct)
2. B (if F is (4, -1) is correct)
3. C (if G is (7, -1) is correct)
4. D (if H is (8, 2) is