89515
AssignmentMultiple Choice

Logic and Reasoning

Question 89515 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

Given the following statements, what conclusion can be drawn using the law of detachment?If two angles are vertical, then they are congruent. Angles ABC and DBE are vertical.

Answer
A
Angles ABC and DBE are congruent.
B
No conclusion can be reached based on the law of detachment.
C
Angles ABC and DBE are not congruent.
D
Angle ABC is a counterexample.

Explanation

The law of detachment applies when a conditional statement is true and its hypothesis is known to be true. The conditional says that if two angles are vertical, then they are congruent, and angles ABC and DBE are stated to be vertical. Therefore, angles ABC and DBE are congruent.

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