Waste less time on Facebook — follow Brilliant.
×

Congruent and Similar Triangles

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

Identifying Congruent Triangles

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.

Triangles \(ABC\) and \(DEF\) are congruent. If \(AB=3\), \(BC=4\) and \(CA=5 \), what is the length of \(DE\)?

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

In triangles \(ABC \) and \(DEF\), if we know that \( \angle ABC = \angle DFE \), \( \angle BCA = \angle FED \) and \( \angle CAB = \angle EDF \), are the triangles congruent?

Triangles \(ABC\) and \(DEF\) are congruent. If \( AB = DE\), \( BC = EF \), \( \angle ABC = 37 ^ \circ \) and \( \angle EDF = 39 ^ \circ \), what is the measure (in degrees) of \( \angle EFD\)?

×

Problem Loading...

Note Loading...

Set Loading...