Which of the following pairs of points is a reflection of each other across the y
-axis?(1 point)
Responses
(1, 17) and (1, −17)
Left Parenthesis 1 comma 17 Right Parenthesis and Left Parenthesis 1 comma negative 17 Right Parenthesis
(13, −11) and (−13, −11)
Left Parenthesis 13 comma negative 11 Right Parenthesis and Left Parenthesis negative 13 comma negative 11 Right Parenthesis
(8, 1) and (1, 8)
Left Parenthesis 8 comma 1 Right Parenthesis and Left Parenthesis 1 comma 8 Right Parenthesis
(−6, −10) and (6, 10)
Left Parenthesis negative 6 comma negative 10 Right Parenthesis and Left Parenthesis 6 comma 10 Right Parenthesis
To find a reflection of a point across the y-axis, you only need to take the opposite of the x-coordinate of the point (i.e., if the point is (a, b), its reflection across the y-axis would be (-a, b)).
Looking at the pairs of points:
1. (1, 17) and (1, −17) - This pair is not a reflection across the y-axis because the x-coordinate is the same in both points, but the y-coordinate has changed signs. This would indicate a reflection across the x-axis instead.
2. (13, −11) and (−13, −11) - This pair is a reflection across the y-axis because only the x-coordinate has changed signs, while the y-coordinate remains the same.
3. (8, 1) and (1, 8) - This pair is not a reflection across any axis; it is actually a rotation or perhaps a point that has undergone a different transformation entirely.
4. (−6, −10) and (6, 10) - This pair is not a reflection across the y-axis because both the x-coordinate and the y-coordinate have changed signs.
The correct pair of points that are a reflection of each other across the y-axis is:
(13, −11) and (−13, −11)