Question

1. the point where a tangent line touches a circle is called the: a. center b. radius c. point of tangency d. diameter 2. 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 segment that connects the midpoints of two sides of a triangle d. a line or segment that divides a line segment into two equal parts at a 90 - degree angle 3. to construct the circumcenter of a triangle, you need to draw the: a. perpendicular bisectors b. medians c. altitudes d. angle bisectors

Explanation:

1. By definition, the point where a tangent line touches a circle is the point of tangency. The center is the middle - point of the circle, the radius is the distance from the center to the circle, and the diameter is a line passing through the center with endpoints on the circle.
2. An angle bisector is a line or segment that divides an angle into two congruent angles. A line perpendicular to an angle is not an angle - bisector, a segment connecting mid - points of two sides of a triangle is a mid - segment, and a line or segment that divides a line segment into two equal parts at a 90 - degree angle is a perpendicular bisector of the line segment.
3. The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the sides of the triangle. Medians intersect at the centroid, altitudes at the orthocenter, and angle bisectors at the in - center.

Answer:

1. c. Point of tangency
2. a. A line or segment that divides an angle into two congruent angles
3. a. Perpendicular bisectors