deepak found that $ \angle g $ has a measure of $ 50 ^ { \circ } $ and $ \overline { f h } $ is 18.3 centimeters long. does he need to continue measuring sides and angles of triangle $ f g h $ and why?
no, he knows that the triangles are congruent because there are corresponding sides and angles that are congruent.
no, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle $ m n p $.
yes, he must verify that the other two side lengths and the other two angle measures are the same as those found in triangle $ m n p $.
yes, he must only verify that the other two angle measures are the same as those found in triangle $ m n p $.

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# Brief Explanations:
For triangles to be congruent, corresponding sides and angles must be congruent. In triangle $MNP$, we have side - angle - side (or other congruence criteria elements). If in triangle $FGH$, $\angle G = 50^{\circ}$ (not equal to any of the angles in $\triangle MNP:40^{\circ},30^{\circ},110^{\circ}$) and $FH = 18.3$ cm (which may or may not be a corresponding side in a congruence - relevant way, but the angle non - match is key). Since the given angle in $\triangle FGH$ ($\angle G = 50^{\circ}$) is not equal to any of the angles in $\triangle MNP$ ($\angle P=40^{\circ},\angle N = 30^{\circ},\angle M=110^{\circ}$),  the triangles cannot be congruent based on the given information.

# Answer:
No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle $MNP$.

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