Chapter 6.3, Problem 5WE

To determine

To write: an indirect proof of given conditional.

Answer to Problem 5WE

The correct first sentence of this indirect proof is: Assume that $\overline{EF}\parallel \overline{GH}$ .

Explanation of Solution

Given information:

If $\overline{EF}\cancel{\cong }\overline{GH}$ , then $\overleftrightarrow{EF}$ and $\overleftrightarrow{GH}$ aren’t parallel.

Calculation:

Consider the following statement:

If $\overline{EF}\cancel{\cong }\overline{GH}$ , then $\overleftrightarrow{EF}$ and $\overleftrightarrow{GH}$ aren’t parallel.

Someone wants to write an indirect proof for this statement

There is need to write sentence which contradicts the conclusion of the proof.

The correct first sentence of this proof is: Assume that $\overline{EF}\parallel \overline{GH}$ .