5.4 Medians and Altitudes of Triangles

Front

What is an angle bisector?

Back

An angle bisector is a line or segment that divides an angle into two equal parts.

Front

What is a median of a triangle?

Back

A median of a triangle is a segment with endpoints at a vertex and the midpoint of the opposite side.

Front

What is an altitude of a triangle?

Back

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

Front

Where do the altitudes of a triangle intersect?

Back

The altitudes of a triangle intersect at the orthocenter.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect.

Front

If G is the centroid of triangle ABC and BE= 18, what is the length of BG?

Back

BG = 12.

Front

In which type of triangle can the circumcenter be located outside the triangle?

Back

In an obtuse triangle.

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.

Front

What is the orthocenter of a triangle?

Back

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

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect.