Question

The figure shows five points. A point has been translated right and up.

On a coordinate plane, point A is (negative 2, 2), point C is (negative 2, negative 1), point B is (2, negative 3), point D is (3, negative 1) and point E is (3, 2).

Based on the graph, which statements about the points could be true? Check all that apply.
Point D could be the image of B.
Point C could be the image of A.
Point E could be the image of C.
Point D could be the image of A.
Point E could be the image of B.
Point C could be the image of E.

Answer 1

Correct statements (could be true):
- Point D could be the image of B. (D − B = (3−2, −1−(−3)) = (1,2) → right 1, up 2)
- Point E could be the image of C. (E − C = (3−(−2), 2−(−1)) = (5,3) → right 5, up 3)
- Point E could be the image of B. (E − B = (3−2, 2−(−3)) = (1,5) → right 1, up 5)

Not possible:
- C from A: C − A = (0, −3) (moves down)
- D from A: D − A = (5, −3) (moves down)
- C from E: C − E = (−5, −3) (moves left and down)