Question: Which statement(s) is/are true about congruent triangles? I. Each of the three pairs of corresponding sides are of equal length. II. Each of the three pairs of corresponding angles are of equal measure. III. Only two pairs of corresponding sides are of equal length. IV. Only two pairs of corresponding angles are of equal measure. A. III and IV B. I and II C. II only D. I only

1. **Problem Statement:** Determine which statements about congruent triangles are true. 2. **Recall the definition of congruent triangles:** Two triangles are congruent if all three pairs of corresponding sides are equal in length and all three pairs of corresponding angles are equal in measure. 3. **Analyze each statement:** - Statement I: Each of the three pairs of corresponding sides are of equal length. This is true by definition of congruence. - Statement II: Each of the three pairs of corresponding angles are of equal measure. This is also true by definition. - Statement III: Only two pairs of corresponding sides are of equal length. This is false because all three pairs must be equal. - Statement IV: Only two pairs of corresponding angles are of equal measure. This is false because all three pairs must be equal. 4. **Conclusion:** The true statements are I and II. 5. **Answer:** B. I and II