Answer the Following:

Question

M is the midpoint of segment AB and ray MN is perpendicular to line AB. Explain why triangle ABN is isosceles.

Answer 1

Given M is the midpoint of the segment and MN is perpendicular to the segment we can conclude that MN is the perpendicular bisector of AB.

So according to the theorem, every point on the perpendicular bisector will be equidistant from the end points of the segment.

AN congruent to BN

therefore triangle ABN is isosceles by definition of isosceles triangle

hope this helps!