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Chapter 6: Q9. (page 218)

Use the conditional: If 螖ABCis acute, then m鈭�C鈮�90.

Suppose you plan to write an indirect proof of the statement: If AB=7then AC=14. Write a correct first sentence of the indirect proof.

Short Answer

Expert verified

The first sentence of the indirect proof is 鈥淎ssume that AC鈮�14.鈥�

Step by step solution

01

Step 1. Apply the concept of indirect proof.

In an indirect proof, instead of showing that the conclusion to be proved is true, show that all of the alternatives are false. To do this, assume the negation of the statement to be proved.

02

Step 2. Step description.

Consider the statement is 鈥渋f AB=7, then AC=14.鈥�

Start off the indirect proof by assuming that the conclusion is not true.

03

Step 3. Step description.

In this case, the first sentence to be used to write this proof is 鈥淎ssume that AC鈮�14.鈥�

Therefore, the first sentence of the indirect proof is 鈥淎ssume that AC鈮�14.鈥�

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