Question

which statement is true about the circumcircle of a triangle? a. it is always inside the triangle b. it passes through all the vertices of a triangle c. it is tangent to all three sides d. its center is the centroid what is an angle bisector? a. a line or segment that divides an angle into two congruent angles b. a line that is perpendicular to an angle c. a line or segment that divides a line segment into two equal parts at a 90 - degree angle d. a segment that connects the midpoints of two sides of a triangle

Explanation:

For the first question, the circum - circle of a triangle is a circle that passes through all the vertices of the triangle. It is not always inside the triangle (it can be outside for an obtuse - angled triangle), it is not tangent to the sides (that's the incircle), and its center is the circum - center, not the centroid.
For the second question, by definition, an angle bisector is a line or segment that divides an angle into two congruent angles.

Answer:

1. B. It passes through all the vertices of a triangle
2. A. A line or segment that divides an angle into two congruent angles