Chapter 6.3, Problem 2WE

To determine

To write: an indirect proof of given conditional.

Answer to Problem 2WE

The correct first sentence of this proof would be: Assume that $\overline{DE}\cong \overline{RT}$

Explanation of Solution

Given information:

If $\overline{DF}\ne \overline{RT}$ ,then $\overline{DE}\cancel{\cong }\overline{RS}$

Calculation:

Consider the following statement:

If $\overline{DF}\ne \overline{RT}$ , then $\overline{DE}\cancel{\cong }\overline{RS}$

To write an indirect proof for this statement

There is need to write a correct first sentence which contradict the proof.

The correct first sentence of this proof would be: Assume that $\overline{DE}\cong \overline{RT}$ .