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

To find the new vertices after reflecting ΔFGH across the y-axis, we change the sign of the x-coordinates of each vertex while keeping the y-coordinates the same.

Assuming the original coordinates are:

– F(x, y)

– G(x, y)

– H(x, y)

The correct transformations would be:

– F’(–x, y)

– G’(–x, y)

– H’(–x, y)

Based on the options provided, we would evaluate each choice.

For a reflection across the y-axis:

– A F’(–4, 1): Correct if F was (4, 1)

– B F’(–4, –1): Incorrect, because the y-coordinate should stay the same.

– C G’(–7, –1): Correct if G was (7, –1)

– D H’(–8, 2): Correct if H was (8, 2)

– E H’(–8, –2): Incorrect, because the y-coordinate should stay the same.

Based on this, the correct answers assuming original coordinates are:

– A F’(–4, 1)

– C G’(–7, –1)

– D H’(–8, 2)

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