Chapter 4, Problem 20MCQ

To determine

To Find: The two column proof for the given figure.

Answer to Problem 20MCQ

The two column proof is shown in Table 1

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

The given data is that $\Delta LMN$ is an isosceles triangle where LM and NM are congruent and $MO$ bisects the angle $\angle LMN$ .

The objective is to prove $\Delta MLO\cong \Delta MNO$ .

Calculation:

The objective is to prove $\Delta MLO\cong \Delta MNO$ .

The two column proof is shown in Table1

Table 1

$\overline{LM}\cong \overline{MN}$	Given
$\angle LMO\cong \angle OMN$	$MO$ bisects the angle $\angle LMN$
MO=MO	Given
LO=ON	$MO$ bisects the angle $\angle LMN$
$\Delta MLO\cong \Delta MNO$	By SAS, SSS