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?

(__)

Answer 1

To reflect a point over the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same.

Point D is originally at the coordinates \( (5, 6) \).

To reflect point D over the y-axis:
- Change the x-coordinate from 5 to -5.
- The y-coordinate remains 6.

Therefore, the coordinates of point D after reflection over the y-axis are \( (-5, 6) \).

Final answer: \((-5, 6)\)