Question

IN ΔBCD line N is the perpendicular bisector of BC and line M is the perpendicular bisector of CD

Answer 1

Answer:

Correct answer is D(the intersection of lines N and M)

Step-by-step explanation:

we Know that  circumcenter of a triangle is  point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices. In other words circumcenter of a triangle is the center of the circle which  passes through the vertices of the triangle. It means, any side of the triangle will act as a chord of the circumcircle. Hence the circumcenter of a triangle must lie on the perpendicular bisectors of the sides. therefore the intersection of line N and M must be  circumcenter of the triangle.

I hope this answer will help you