Question

In circle C, chord ST is perpendicular to radius CB and also ST and CB intersect at point N. Which line segment is congruent to NS

Answer 1

Answer: NT is congruent to NS.

Explanation:

Since, we know that in a triangle, If a diameter (or radius) is perpendicular to a chord, then it bisects the chord and its arc.

Here, In circle C, chord ST is perpendicular to radius CB and also ST and CB intersect at point N.

Therefore, by the above property, radius CB must bisect the chord ST at N.

⇒ NS = NT.

Thus, NS is congruent to NT. ( By the property of congruence)