Question

question consider this construction of circle m. 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

Explanation:

Step1: Recall circle - related definitions

The circum - circle of a triangle is a circle that passes through all the vertices of the triangle. The center of the circum - circle (circum - center) is the point of intersection of the perpendicular bisectors of the sides of the triangle. A radius of the circum - circle is the distance from the circum - center to any of the vertices of the triangle.

Step2: Analyze the construction

In the given construction, circle M passes through the vertices A, B, and C of triangle ABC. So, circle M is the circum - circle of triangle ABC. Point M is the intersection of the perpendicular bisectors of the sides of triangle ABC. And a radius of circle M can be MA, MB, or MC.

Answer:

Circle M is the circum - circle. Point M is the intersection of the perpendicular bisectors in triangle ABC. A radius of circle M is MA (or MB or MC).