Question

before you continue, we recommend completing the day 2 activity, reason through it.

are these figures congruent?

• no, because there is at least one pair of corresponding sides or angles that is not congruent.
• yes, because the corresponding sides and angles are congruent.
• there is not enough information to determine congruence.

Explanation:

To determine if two figures are congruent, their corresponding sides and angles must be equal. Looking at the two squares (assuming they are squares from the grid), if we check their side lengths (by counting grid units) and angles (all 90 degrees for squares), the corresponding sides should be equal and angles congruent. So the correct reasoning is that they are congruent because corresponding sides and angles are congruent.

Answer:

Yes, because the corresponding sides and angles are congruent.