Question

determine whether the conclusion is valid based on the information stated. given: right angles are congruent. ∠1 and ∠2 are right angles. conclusion: ∠1 ≅ ∠2. is the conclusion valid or invalid? choose the answer that best answers the question. a) the conclusion is valid. the law of detachment applies. b) the conclusion is invalid. not all right angles are congruent. c) the conclusion is invalid. the law of detachment applies. d) the conclusion is valid. the angles might not be congruent.

Explanation:

Step1: Recall angle - congruence property

All right angles are congruent.

Step2: Identify given information

Given ∠1 and ∠2 are right - angles.

Step3: Apply Law of Detachment

If a general statement (right angles are congruent) is true and a specific case (∠1 and ∠2 are right angles) satisfies the hypothesis of the general statement, then the conclusion (∠1≅∠2) is valid by the Law of Detachment.

Answer:

A. The conclusion is valid. The Law of Detachment applies.