Given is a pair of congruent triangles. State the property of congruence and the name of the congruent triangles.
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Solution
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ASA congruence property: Two triangles are congruent if the two angles and the included side of one are respectively equal to the two angles and the included side of the other
From the figure, We have
$$\angle E=\angle N$$ , $$\angle F=\angle M$$ and $$EF=NM$$
Comparing the correspondence between sides and angles, We name the congruent triangles as
$$\triangle DEF\cong \triangle PNM$$
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