Question

Triangle PQR is reflected over a vertical line of reflection to create triangle P'Q'R'. What are the coordinates of point Q'? (1 point)
(-3,1)
(-2,7)
(12,7)
(7,-2)

Answer 1

To find the coordinates of point Q' after triangle PQR is reflected over a vertical line of reflection, we first need the original coordinates of point Q and the equation of the line of reflection.

Assuming the options are the possible coordinates for Q' after reflection, we need to determine which option makes sense based on typical reflection behavior:

1. If the line of reflection is, for instance, a vertical line at x = k, then reflecting a point (x, y) results in the point (2k - x, y).
2. This means the y-coordinate remains constant, while the x-coordinate changes based on its distance to the line of reflection.

Without the original point Q or the specific line of reflection, we cannot definitively choose the correct coordinate Q'.

However, let's analyze the possible options you provided in terms of likelihood based on what a reflection might produce:
- (-3, 1)
- (-2, 7)
- (12, 7)
- (7, -2)

To pick among these points meaningfully, if you provide the x-coordinate of Q before reflection or the x-coordinate of the vertical line of reflection, we can determine which option is possible for Q' after reflection.

If we are not provided those details, we cannot specifically identify which point corresponds to Q' without additional context. Please provide the original coordinates of point Q and the vertical line of reflection.