The coordinate point Q (0, 10) is reflected over the y-axis. Identify the x- and y-coordinates of its image, Q'.

Question

The coordinates of Q' are (___,___) after a reflection over the y-axis.

Answer 1

When a point \( Q(x, y) \) is reflected over the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same.

For the point \( Q(0, 10) \):

• The x-coordinate is \( 0 \), and changing its sign still results in \( 0 \).
• The y-coordinate is \( 10 \), which remains the same.

Therefore, the coordinates of the image \( Q' \) after a reflection over the y-axis are \( (0, 10) \).

Thus, the coordinates of \( Q' \) are \( (0, 10) \).