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If you want to find similar triangles, use only SSS, SAS and AAA. Don't make an ASS of yourself.

In \(\triangle ABC\) above, \(\angle A={66}^\circ,\) \(M\) is the midpoint of side \(\overline{BC},\) and \(D\) and \(E\) are the feet of perpendicular drawn from \(M\) to \(\overline{AB}\) and \(\overline{AC},\) respectively. If \(\lvert{\overline{MD}}\rvert=\lvert{\overline{ME}}\rvert,\) what is the measure of \(\angle CME ?\)

**Note:** The above diagram is not drawn to scale.

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In triangles \(ABC \) and \(DEF\), if we know that \( AB = EF, BC = DE \) and \( \angle ABC = \angle DEF \), are the triangles congruent?

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