Question

the center of the incircle of a triangle is known as the

the center of the circumcircle of a triangle is known as the

the point of concurrency of the medians in a triangle is known as the

the perpendicular bisector of a side of a triangle is a line segment that is to the side and passes through its midpoint.

the angle bisector of an angle in a triangle divides the angle into two angles.

the incircle of a triangle is tangent to all three

the circumcircle of a triangle passes through all three of the triangle.

Explanation:

1. The in - center is the center of the incircle of a triangle, formed by the intersection of angle bisectors.
2. The circum - center is the center of the circumcircle of a triangle, formed by the intersection of perpendicular bisectors.
3. The centroid is the point of concurrency of the medians of a triangle.
4. A perpendicular bisector of a side of a triangle is perpendicular to the side and passes through its mid - point.
5. An angle bisector of an angle in a triangle divides the angle into two equal angles.
6. The incircle of a triangle is tangent to all three sides.
7. The circumcircle of a triangle passes through all three vertices.

Answer:

1. In - center
2. Circum - center
3. Centroid
4. Perpendicular
5. Equal
6. Sides
7. Vertices