Chapter 6.1, Problem 8WE

To determine

To find: The two proof column for the given data.

Explanation of Solution

Given Data:

The given data is shown in Figure 1

  

Figure 1

Given $KL>NL$ and $LM>LP$ .

Prove $KM>NP$ .

Calculation:

The two column proof is shown in Table 1

Table 1

$KL>NL$   $LM>LP$	Given
$KL+LM>NL+LP$	From the property of inequality.
$\begin{array}{l}NL+LP=NP\\ KL+LM=KM\end{array}$	Segment addition postulate
$KM>NP$	Substitution property.

Thus, the two column proof is shown in Table 1.