Chapter 4.5, Problem 4ST2

To determine

To Explain: The method to prove $\Delta ABN\cong \Delta ACM$ .

Explanation of Solution

Given information:

In the figure shown, $AB\cong AC,BN\perp AC$ , and $CM\perp AB$ .

  

Calculation:

Using two-column proof.

  $\begin{array}{cc}\text{Statements}& \text{Reasons}\\ \angle A=\angle A& \text{Common}\\ AB=AC& \text{Given}\\ \angle M=\angle N=90& \text{Given}\\ \Delta ABN\cong \Delta ACM& ASA\end{array}$

Therefore, $\Delta ABN\cong \Delta ACM$ has been proved.