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.
From the given information, we know that the points have been translated right and up.
Therefore, the possible translations are as follows:
- Point D could be the image of B because it is translated right by 1 and up by 2.
- Point C could be the image of A because it is translated up by 1.
- Point E could be the image of C because it is translated right by 5 and up by 3.
- Point D could be the image of A because it is translated right by 5 and up by 3.
- Point E could be the image of B because it is translated right by 1 and up by 5.
Therefore, the statements that could be true are:
- 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 not be the image of E based on the given information.