Use the image to answer the question.

An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 10 to 10 in increments of 1. Two triangles, upper A upper B upper C and upper E upper G upper H, are plotted on the graph. The triangle upper A upper B upper C has its vertices marked with closed points at upper A left parenthesis 1 comma negative 3 right parenthesis, upper B left parenthesis 1 comma negative 1 right parenthesis, and upper C left parenthesis 4 comma negative 3 right parenthesis. The triangle upper E upper G upper H has its vertices marked with closed points at upper E left parenthesis negative 2 comma 5 right parenthesis, upper G left parenthesis negative 2 comma 2 right parenthesis, and upper H left parenthesis negative 4 comma 2 right parenthesis. In triangle upper E upper G upper H, side upper E upper G is labeled as h, side upper G upper H is labeled as e, and side upper H upper E is labeled as g.

△ABC is congruent to △GHE . Describe a sequence of transformations from △ABC to △GHE that proves their congruence

To prove that triangles ABC and GHE are congruent, we can use the sequence of transformations:

1. Translation: Translate triangle ABC 3 units to the left and 2 units down. This will move point A to point E, B to G, and C to H. The new triangle would be EGH.

2. Reflection: Reflect triangle EGH over the y-axis. This will swap the positions of points E and G, resulting in the triangle GHE.

Therefore, triangle ABC is congruent to triangle GHE due to this sequence of transformations.