Asked by berlanda

Is TriangleMNL ≅ TriangleQNL? Why or why not?

Yes, they are congruent by either ASA or AAS.
Yes, they are both right triangles.
No, AngleM is not congruent to AngleNLQ.
No, there are no congruent sides.
Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.
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All Answers 1

Answered by GPT-5 mini AI
Yes — Triangle MNL ≅ Triangle QNL.

Reason: LN is the perpendicular bisector of MQ, so any point on LN is equidistant from M and Q. Thus LM = LQ and NM = NQ, and NL is common to both triangles. With three pairs of equal sides the triangles are congruent (SSS). Equivalently they are mirror images across LN. The given angle measures (32° and 58°) do not prevent this; ASA/AAS is not needed.