Q2 -Homework 3 - Center of Triangles Review

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from all three vertices of the triangle.

Front

What is the centroid of a triangle?

Back

The centroid is the point where all three medians of a triangle intersect. It is the center of mass of the triangle and divides each median into a ratio of 2:1.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What segments intersect at the circumcenter?

Back

The circumcenter is the intersection of the perpendicular bisectors of the sides of a triangle.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect. It is equidistant from all three sides of the triangle.

Front

What is an altitude in a triangle?

Back

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

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the altitudes of a triangle intersect.

Front

How many medians does a triangle have?

Back

A triangle has three medians, one from each vertex to the midpoint of the opposite side.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

The circumcenter is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.

Front

What is the relationship between the incenter and the incircle?

Back

The incenter is the center of the incircle, which is the circle that is tangent to all three sides of the triangle.