Chapter 2.2, Problem 12E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Which of the following statements would you prove by the indirect method?

a) If

b) If

c) If RSTV is not a square, then

d) An angle has exactly one bisector.

To determine

(a)

Whether the statement, “If

Explanation

**Approach:**

1. Suppose that

2. Reason from the supposition until you reach a contradiction.

3. Note that the supposition claiming that

Step 3 completes the proof.

**Calculation:**

Consider the given statement, “If

To determine

(b)

Whether the statement, “If

To determine

(c)

Whether the statement, “If RSTV is not a square, then

To determine

(d)

Whether the statement, “An angle has exactly one bisector” can be proved by the indirect method.

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