Question

A point moves in the plane in the following sequence.

A point moves down 2 units, reflects over the x-axis, moves right 4 units, and then reflects over the y-axis.
Which of the following points follows the sequence and has the same starting and ending point?
A. (2, 3)
B. (–1, 1)
C. (–3, –3)
D. (–2, 1)

Answer 1

D

Explanation:

The answer is point D(-2,1).

1. If the point D was moved down 2 units, then its coordinates became (-2,-1).

2. If point (-2,-1) was reflected over the x-axis, then its coordinates became (-2,1).

3. If the point (-2,1) was moved 4 units to the right, then its coordinates became (2,1).

4. If point (2,1) was reflected over y-axis, its coordinates became (-2,1).