Question

60. A triangle ABD, is reflected across the line y = x to

have the image A’ B’ D’ in the standard (x, y) coordinate
plane: thus A reflects to A'. The coordinates of point A
are (m, n). What are the coordinates of point A
F. (-m.n)
G. (m. -n)
H. (-m. -n)
J. (n, m)
K.Cannot be determined from the given information.

Answer 1

Explanation:

The line y = x is the line of symmetry in the reflection, which means that the x-coordinate and y-coordinate of each point get swapped. Therefore, the x-coordinate of A becomes its y-coordinate in its reflection A', and the y-coordinate of A becomes its x-coordinate in A'. Thus, the coordinates of A' are (n, m).

Therefore, the correct answer is J. (n, m).