9
QuizMultiple Choice

Logic and Reasoning — Quiz

Question 9 • MASTER COURSE Geometry

Which conclusion can be drawn based on the true statements shown? If a line segment is a diameter, then it is the longest chord in a circle. Line segment A B is a diameter.

Answer
A
Based on the law of detachment, the longest chord in a circle is a diameter.
B
Based on the law of syllogism, line segment A B is the longest chord in a circle.
C
Based on the law of detachment, line segment A B is the longest chord in a circle.
D
Based on the law of syllogism, the longest chord in a circle is a diameter.

Explanation

The conditional statement says that if a segment is a diameter, then it is the longest chord in a circle. Since A B is a diameter, the law of detachment lets us conclude that A B is the longest chord in a circle, which is choice C.

AI-written and checked against the verified answer.

Previous
Next