Question

1. draw lines to match the special segment with its corresponding triangle center. median perpendicular bisector angle bisector altitude incenter orthocenter centroid circumcenter 2. which inscribe below?

Explanation:

Step1: Recall triangle - center definitions

A median is a line segment joining a vertex of a triangle to the mid - point of the opposite side, and the centroid is the point of intersection of the medians of a triangle.

Step2: Recall perpendicular bisector property

A perpendicular bisector of a side of a triangle is a line that is perpendicular to the side and bisects it. The circumcenter is the point of intersection of the perpendicular bisectors of the sides of a triangle.

Step3: Recall angle bisector property

An angle bisector divides an angle of a triangle into two equal angles. The incenter is the point of intersection of the angle bisectors of a triangle.

Step4: Recall altitude property

An altitude is a line segment from a vertex of a triangle perpendicular to the opposite side. The orthocenter is the point of intersection of the altitudes of a triangle.

Answer:

median - centroid
perpendicular bisector - circumcenter
angle bisector - incenter
altitude - orthocenter