The coordinate point Q(0,10)
is reflected over the y-axis. Identify the x- and y-coordinates of its image, Q′
.(1 point)
The coordinates of Q′
are (
,
) after a reflection over the y-axis.
The y-coordinate of point Q is positive 10.
When a point is reflected over the y-axis, the x-coordinate is negated and the y-coordinate remains the same.
Therefore, the x-coordinate of the image Q' will be the negation of the x-coordinate of Q.
Since the x-coordinate of Q is 0, the x-coordinate of Q' will also be 0.
Therefore, the coordinates of Q' are (0, 10).
To reflect a point over the y-axis, we need to change the sign of its x-coordinate while keeping the y-coordinate unchanged.
Given that the coordinate point Q(0,10), when reflected over the y-axis, its x-coordinate will change sign while its y-coordinate remains the same.
So, the x-coordinate of the reflected point Q' will be -0, and the y-coordinate will be 10.
Therefore, the coordinates of Q' are (-0, 10) or simply (0, 10).
To reflect a point over the y-axis, we need to change the sign of the x-coordinate while keeping the y-coordinate the same.
Given the original point Q(0,10), we can reflect it over the y-axis by changing the sign of the x-coordinate:
x-coordinate of Q' = -x-coordinate of Q = -0 = 0
y-coordinate of Q' = y-coordinate of Q = 10
Therefore, the coordinates of Q' after the reflection over the y-axis are (0, 10).