Chapter 4.3, Problem 36HP

To determine

To explain:

Reason for order of the vertices is important when naming congruent triangles.

Answer to Problem 36HP

Reason for order of the vertices is important when naming congruent triangles is,

  $\begin{array}{l}\angle A\cong \angle A\text{'}\\ \angle B\cong \angle B\text{'}\\ \angle C\cong \angle C\text{'}\end{array}$

Explanation of Solution

When one names congruent triangles, one should lace the corresponding vertices in the same location for both triangles.

As the location indicates congruence.

For example, if $△ABC\cong △A\text{'}B\text{'}C\text{'}$ then

  $\begin{array}{l}\angle A\cong \angle A\text{'}\\ \angle B\cong \angle B\text{'}\\ \angle C\cong \angle C\text{'}\end{array}$