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