Question

Use the law of detachment to analyze the following statements. Statement 1: If a chord extends through the center of a circle, it is the diameter of the circle. Statement 2: Chord AB extends through the center of circle O. Which statements are true? Check all that apply. Chord AB is the diameter of circle O. All chords are diameters. Statement 1 is a conditional statement. Statement 2 relates to the hypothesis of Statement 1. Chord AB is not the diameter of circle O.

Answer 1

Chord AB is the diameter of circle O.

Step-by-step explanation:

The law of detachment states that if the following two statements are true;

(i) if p then q

(ii)p

Then the third true statement is;

(iii)q

In this case;

Let

(i) If a chord extends through the center of a circle---- p

 (ii)It is the diameter of the circle-----q

Then (i) and (ii) can be written as;

(i) If p then q

(ii) p

Here q is true, Chord AB is the diameter of circle O.

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Law of detachment :https://brainly.com/question/11132358

Keywords: law of detachment, statements,true,chord, center of circle,diameter

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Answer 2

Answer:

A,C and D are the answers

Step-by-step explanation:

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