Answer:
E(-9, 2)
Step-by-step explanation:
The line of reflection is is the perpendicular bisector of the segment between the original point and its reflected image.
In the figure, the y-axis is halfway between points A and E, and is a vertical line perpendicular to the horizontal segment AE. Point E has the same y-coordinate as point A, but its x-coordinate has the opposite sign.
(x, y) ⇒ (-x, y) . . . . . . reflection across the y-axis
A(9, 2) ⇒ E(-9, 2) . . . . reflection of point A across the y-axis
You get point E when you reflect A across the y-axis.
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<em>Additional comment</em>
When A is reflected across the line y=x, it becomes point B. When it is reflected across the origin, it becomes point C. Reflection across the x-axis maps point A to point D.
(x, y) ⇒ (y, x) . . . . reflection across y=x
(x, y) ⇒ (-x, -y) . . . reflection across the origin
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
(x, y) ⇒ (-y, -x) . . . reflection across the line y = -x
