Chapter 5.2: Special Segments in a Triangle

Question 1

Perpendicular Bisector of a Triangle

Answer 1

a segment that is part of a 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 the triangle.

Question 3

Median

Answer 3

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

Question 4

Altitude

Answer 4

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

Question 5

Concurrent

Answer 5

two or more lines or segments are concurrent if they intersect in a single point.

Question 6

Circumcenter

Answer 6

is equidistant from the vertices of the triangle.

Question 7

Incenter

Answer 7

is equidistant from the three sides of the triangle.

Question 8

Centroid

Answer 8

is two-thirds of the distance from each vertex to the midpoint of the opposite side.

Question 9

Orthocenter

Answer 9

the lines containing the altitudes of a triangle are concurrent in the orthocenter of the triangle.

Question 10

Thm. 5.5 - Concurrency Properties

Answer 10

Concurrent definition 
Circumcenter definition
Incenter definition
Centroid definition
Orthocenter definition