Chapter 4, Problem 14PST

To determine

To find: Whether the $\Delta ABC$ congruent to $\Delta MNO$ or not.

Answer to Problem 14PST

No! The $\Delta ABC$ is not congruent to $\Delta MNO$ .

Explanation of Solution

Given information: Two sides and one non-included angle of $\Delta ABC$ is congruent to two sides and one non-included angle of $\Delta MNO$ .

Calculation: No! The triangles are not congruent. Two triangles can be congruent, only if their two sides and an included angle should be congruent.

Conditions for becoming congruent: If two sides and an included angle of $\Delta ABC$ is congruent to two sides and an included angle of $\Delta MNO$ .

Therefore, $\Delta ABC\cong \Delta MNO$

Condition plotted in the figure.