Chapter 4.1, Problem 9WE

To determine

To find: six congruences corresponding to congruent triangles

Answer to Problem 9WE

Final answer

Explanation of Solution

Given information: $\Delta LXR\cong \Delta FNE$

It is given that corresponding parts of congruent triangles are congruent.

Corresponding parts means corresponding angles and corresponding sides of the congruent triangles.

As $\Delta LXR\cong \Delta FNE$ ,

  $LX\cong FN,XR\cong NE,LR\cong FEN$ (corresponding sides of the congruent triangles are congruent)

  $\angle L\cong \angle F,\angle X\cong \angle N,\angle R\cong \angle E$ (corresponding angles of the congruent triangles are congruent)