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