Determine if the two figures are congruent and explain your answer using transformations.

Figure ABCD is shown. A is at negative 1, 1. B is at negative 3, 2. C is at negative 4, 4. D is at 0, 5. Figure EFGH is shown. E is at 1, 1. F is at 3, 0. G is at 4, negative 2. H is at 0, negative 3.

1 answer

To determine if the two figures are congruent, we can compare the corresponding sides and angles of both figures.

If we apply a translation of one unit to the right and two units down to figure ABCD, we see that it overlaps with figure EFGH perfectly. This means that the two figures are congruent.

Therefore, figure ABCD and figure EFGH are congruent through a translation.