Consider this construction of circle M. A circle with center M passes through points A, B and C. Points ABC are joined with a line forming a triangle. From point M lines are drawn towards vertices A, B and C. Two lines intersect the triangle ABC at point M forming angles N and O. Select the correct answer from each drop-down menu. Circle M is circle. Point M is the intersection of the in triangle ABC . A radius of circle M is

1 answer

The correct answers are:

Circle M is a circumcircle. Point M is the circumcenter of triangle ABC. A radius of circle M is MN/OM (the ratio of the segments MN and OM).