5.2 Special Segments of Triangles

Question 1

Perpendicular Bisector of a Triangle

Answer 1

A segment that is part of the perpendicular bisector of one of the sides

Question 2

Angle Bisector of a Triangle

Answer 2

A segment that bisects one of the angles of a triangle

Question 3

Median

Answer 3

A segment whose endpoints are a vertex and the midpoint of the opposite side of the triangle

Question 4

Altitude

Answer 4

A segment from the vertex that is perpendicular to the opposite side or the line containing the opposite side

Question 5

Concurrent

Answer 5

Two or more lines are concurrent if they intersect at a single point

Question 6

Circumcenter

Answer 6

The circumcenter is equidistant from the vertices of the triangle

Question 7

Incenter

Answer 7

The incenter is equidistant from the three sides of the triangle (the distances must be measured along perpendicular segments)

Question 8

Centroid

Answer 8

The distance from any vertex to the centroid is 2/3 of the distance from that vertex to the midpoint of the opposite side