Question

1. choose the correct answer.

in any triangle, the ___ will always be the same distance from each vertex of the triangle.
o incenter
o sides
o circumcenter
o measure

1. choose the correct answer.

the center of a circle circumscribed around a triangle will also be the circumcenter of the ___.
o vertex
o circle
o triangle
o interior

Explanation:

• For question 10: 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 all the vertices of the triangle. The in - center is equidistant from the sides of the triangle. Sides are not points. Measure is a general term for length, angle etc.
• For question 11: When a circle is circumscribed around a triangle (circum - circle), the center of that circle is called the circumcenter of the triangle. A vertex is a corner of the triangle. A circle has its own center, but in the context of a circum - circle around a triangle, the center is related to the triangle. The interior is a region, not a point.

Answer:

1. circumcenter
2. triangle