Question

If N is the midpoint of AB, what theorem proves AN BN?​

A) Midpoint Theorem
B) Pythagorean Theorem
C) Corresponding Angles Theorem
D) Circle Theorem.

Answer 1

The Midpoint Theorem proves that AN = BN when N is the midpoint of AB.

Step-by-step explanation:

The Midpoint Theorem is a fundamental concept in geometry that establishes a relationship between the midpoint of a line segment and the congruence of the two resulting segments. Specifically, the theorem states that if a point (in this case, N) is the midpoint of a segment AB, then it divides the segment into two congruent parts. Applying this theorem to the situation where N is the midpoint of AB, it implies that the segments AN and BN are congruent. This theorem provides a foundational understanding of geometric relationships involving midpoints and contributes to the logical deduction of congruence in geometric figures.