Question

1. which statement about the picture below is not true? ∠1 and ∠2 are congruent. ∠1 and ∠2 are adjacent. ∠1 and ∠2 are complementary. ∠1 and ∠2 form a right angle.

Explanation:

Step1: Analyze ∠1 and ∠2 relationship

From the diagram, ∠1 is a right angle (90°), and ∠1 + ∠2 = 90° (since they form a right angle together). So they are complementary (sum to 90°), adjacent (share a common side and vertex), and form a right angle. But for congruent, congruent angles have equal measure. ∠1 is 90°, ∠2 is not 90° (as ∠1 + ∠2 = 90° and ∠2 ≠ 90°), so they are not congruent.

Step2: Evaluate each option

• Option 1: ∠1 and ∠2 are congruent. False, as explained.
• Option 2: ∠1 and ∠2 are adjacent. True, they share a side and vertex.
• Option 3: ∠1 and ∠2 are complementary. True, sum to 90°.
• Option 4: ∠1 and ∠2 form a right angle. True, their sum is 90°.

Answer:

A. ∠1 and ∠2 are congruent.