Chapter 6.3, Problem 7CE

To determine

To find: the first sentence of an indirect proof of the given statement.

Answer to Problem 7CE

The first sentence to be used to write this proof is:

Assume that $\overline{CX}$ is a median of $\Delta ABC$ .

Explanation of Solution

Given information:

  $\overline{CX}$ isn’t median of $\Delta ABC$ .

Calculation:

Consider the following statement:

  $\overline{CX}$ isn’t median of $\Delta ABC$

Write out the first sentence of an indirect proof of this statement.

Start of an indirect proof by assuming temporarily that the given conclusion is not true.

Hence, in this case, the first sentence to be used to write this proof is:

Assume that $\overline{CX}$ is a median of $\Delta ABC$ .