Question

Use the image to answer the question.

An illustration shows a coordinate plane. The x-axis and the y-axis range from negative 1 to 6 in one unit increments. Four points are plotted. The points are connected to form a quadrilateral. Point A is plotted at the coordinates left parenthesis 3 comma 6 right parenthesis, Point B is plotted at left parenthesis 3 comma 2 right parenthesis, point C is plotted at left parenthesis 6 comma 2 right parenthesis, and point D is plotted at left parenthesis 5 comma 6 right parenthesis. Points A and B, points B and C, points C and D, and points D and A are connected by line segments to form quadrilateral A B C D.

The shape is reflected over the y
-axis. What are the coordinates of the point D′
?

(1 point)
(
)

Answer 1

To find the coordinates of the point D' after reflecting point D over the y-axis, we need to change the sign of the x-coordinate of point D.

The original coordinates of point D are (5, 6).

When we reflect this point over the y-axis, the x-coordinate becomes -5, while the y-coordinate remains the same.

Therefore, the coordinates of D' are:

\[
D' = (-5, 6)
\]

So the answer is:

\((-5, 6)\)