Question

1. choose the correct answer.

circumcenters and centroids involve
circumcenter
midpoints
centroid
incenter

1. choose the correct answer.

if angles are marked congruent and segments of equal measure extend from the point of intersection to the sides of a triangle, you are dealing with a(n)
orthocenter
midpoints
incenter
circumcenter

Explanation:

5)

• The centroid of a triangle is the intersection of the medians. A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.
• The circumcenter of a triangle is the intersection of the perpendicular bisectors of the sides of the triangle. A perpendicular bisector of a side of a triangle passes through the mid - point of that side.

• The incenter of a triangle is the point of intersection of the angle bisectors of the triangle.
• The incenter is equidistant from the sides of the triangle. If we have congruent angles (angle bisectors) and segments of equal measure (distance from the incenter to the sides), we are dealing with the incenter.

Answer:

midpoints

6)