Question

what do you notice about the figures? the figures are not congruent, because there are corresponding sides that are not congruent. the figures are not congruent, because there are corresponding angles and sides that are not congruent. the figures are congruent because the corresponding sides and angles are congruent. the figures are not congruent, because there are corresponding angles that are not congruent.

Explanation:

To determine congruence of figures (squares here), we check corresponding sides and angles. Congruent figures must have all corresponding sides and angles congruent. Looking at the two squares, if their side lengths (from grid) are equal, but wait—wait, no, actually, let's re - evaluate. Wait, the key is: for squares, if they are congruent, all sides and angles must match. But the first option says "not congruent because corresponding sides not congruent"—but wait, no, wait the second option says "congruent because corresponding sides and angles congruent". Wait, no, maybe I misread. Wait, the problem is about two squares? Wait, no, the figure: one is green, one is orange. Wait, maybe their side lengths? Wait, no, the correct reasoning: Congruent figures have all corresponding sides and angles congruent. If the figures are congruent, then corresponding sides and angles are congruent. So the second option: "The figures are congruent because the corresponding sides and angles are congruent." Wait, but maybe the grid: let's assume each square has sides of equal length (since they are squares, angles are 90 degrees). So if their side lengths (number of grid units) are equal, then corresponding sides (all sides of square are equal, so corresponding sides would be equal) and angles (all 90 degrees) are congruent. So the correct option is the second one: "The figures are congruent because the corresponding sides and angles are congruent." Wait, but let's check the options again. The options are:

1. The figures are NOT congruent, because there are corresponding SIDES that are not congruent.

1. The figures are congruent because the corresponding sides and angles are congruent.

1. The figures are NOT congruent, because there are corresponding ANGLES AND SIDES that are not congruent.

1. The figures are NOT congruent, because there are corresponding ANGLES that are not congruent.

Since squares have all angles 90 degrees (so corresponding angles congruent) and if their side lengths (from grid) are equal (so corresponding sides congruent), then the figures are congruent because corresponding sides and angles are congruent. So the correct option is the second one.

Answer:

The figures are congruent because the corresponding sides and angles are congruent.