Question

1. choose the correct answer.

the circumcenter of a triangle is ____ from each vertex of the triangle.
inscribed
perpendicular
equidistant
intersected

1. choose the correct answer.

the ____ is at the point of intersection of the angle bisectors of a triangle.
circumcenter
orthocenter
locus
incenter

Explanation:

• For question 9: The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect. By the property of the circum - center, it is equidistant from each vertex of the triangle.
• For question 10: The in - center of a triangle is the point of intersection of the angle bisectors of a triangle. The circum - center is the intersection of perpendicular bisectors, the ortho - center is the intersection of altitudes, and a locus is a set of points satisfying a particular condition.

Answer:

1. C. equidistant
2. D. incenter