Chapter 4

Question 0

centroid

Answer 0

The centroid of triangle is the point of concurrency of the medians of the triangle.

Question 1

altitude of a triangle

Answer 1

An altitude of a triangle is the perpendicular segment from a vertex to the line containing the side opposite that vertex.

Question 2

circumcenter

Answer 2

The circumcenter of a triangle is the point of concurrency of the perpendicular bisectors of the sides of the triangle.

Question 3

concurrent

Answer 3

Concurrent lines are three or more lines that meet in one point. The point at which they meet is the point of concurrency.

Question 4

equidistant

Answer 4

A point is equidistant from two objects if it is the same distance from the objects.

Question 5

incenter

Answer 5

The incenter of a triangle is the point of concurrency of the angle bisectors of the triangle.

Question 6

indirect proof

Answer 6

Indirect reasoning is a type of reasoning in which all possibilities ate considered and then all but one are proved false. The remaining possibility must be true.

Question 7

median

Answer 7

A median of a triangle is a segment that has as its endpoints a vertex of the triangle and the midpoint of the opposite side.

Question 8

Midsegment of a triangle

Answer 8

A midsegment of a triangle is a segment that joins the midpoints of two sides of the triangle.

Question 9

orthocenter

Answer 9

The orthocenter of a triangle is the point of concurrency of the lines containing the altitudes of the triangle.