8.2 HW - Triangle Centers & Special Segments

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect. It is also the center of mass of the triangle.

Front

If m∠CAP = 34°, what is ∠CAB in triangle ABC?

Back

∠CAB = 68°.

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.

Front

What type of triangle has its circumcenter and orthocenter outside the triangle?

Back

An obtuse triangle.

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex of the triangle to the midpoint of the opposite side.

Front

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

Back

BG = 12.

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the three 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. It is equidistant from all three sides.

Front

What is an altitude in a triangle?

Back

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

Front

What is the relationship between the centroid and the segments it creates?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.