Chapter 11.2, Problem 31STP

To determine

To find: The incorrect statement.

Answer to Problem 31STP

The inccorect statement is $D.<F\cong <N$

Explanation of Solution

Given information:

  $\Delta FGH\cong \Delta LMN$.

Concept and Formula Used:

The concept of congruent triangles is used. Two triangles are said to be congruent if their corresponding sides and the corresponding angles are equal.

Calculation:

The two triangles given $\Delta FGH\cong \Delta LMN$ , so the corresponding angles and the corresponding sides are congruent i.e. $<F\cong <L,<G\cong <M,<H\cong <N\text{and }\overline{FG}\cong \overline{LM},\overline{GH}\cong \overline{MN},\overline{FH}\cong \overline{LN}$ .

So, the inccorect statement is $D.<F\cong <N$

Conclusion:

The inccorect statement is $D.<F\cong <N$