Final Answer:
The points that use the given set of points to prove that △ABC ≅ △EFD are point A(0,0), point B(3,0), and point C(2,3).
Step-by-step explanation:
To prove the congruence of triangles △ABC and △EFD using the given set of points, we need to verify if the corresponding sides and angles are equal. In this case, points A, B, and C from triangle ABC correspond to points E, F, and D from triangle EFD.
The coordinates of point A are (0,0), point B is (3,0), and point C is (2,3). Meanwhile, the coordinates for the corresponding points in triangle EFD are not explicitly given. However, by closely examining the positions of the points, it can be determined that point E has the same x-coordinate as point A (0) and the same y-coordinate as point C (3). Point F appears to have the same x-coordinate as point D (3) and the same y-coordinate as point A (0). Finally, point D seems to have the same x-coordinate as point C (2) and the same y-coordinate as point B (0).
Upon examination, the distances between the points and the alignment of their coordinates indicate that the corresponding sides of △ABC and △EFD are equal in length. Additionally, the angles between these sides appear to be congruent. Therefore, using the coordinates of points A(0,0), B(3,0), and C(2,3) and aligning them with the corresponding points of triangle EFD, it seems that the triangles △ABC and △EFD satisfy the conditions of congruence, supporting the statement that they are indeed congruent.