Triangle ABC coordinates A: (-3,2) B: (4,-4) C: (4,-2) Triangle DEF: D: (-3,4) E: (-4,2) F:(-2,2) Knowing this information, triangle ABC is congruent to triangle DEF. describe a series of transformations that would transform ABC to DEF to prove their congruence. Make sure your explanation is short and simple no longer than 3 sentences

1 answer

To transform triangle ABC to triangle DEF, first apply a translation that moves the triangle 1 unit left and 2 units up, changing the position of points A, B, and C. Next, perform a clockwise rotation of 90 degrees around point D, which will align triangle ABC with triangle DEF. Finally, confirm that the triangles are congruent by checking that all corresponding sides and angles match after these transformations.