Triangle Centers Review

Front

If m∠CAP = 34°, find ∠CAB.

Back

∠CAB = 68° (Using the property of angles in a triangle, where the sum of angles is 180°.)

Front

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

Back

Circumcenter.

Front

The centroid is the point of concurrency of the 3 ____ of a triangle.

Back

Medians.

Front

What is a median in a triangle?

Back

A median is a line segment joining a vertex to the midpoint of the opposite side.

Front

What is the definition of a centroid?

Back

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

Front

What type of segments are drawn if Z is the centroid?

Back

Medians.

Front

What is the definition of a circumcenter?

Back

The circumcenter is the point where the three perpendicular bisectors of a triangle intersect.

Front

What is an angle bisector?

Back

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

Front

What is the relationship between the centroid and the medians of a triangle?

Back

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

Front

What is the definition of an altitude in a triangle?

Back

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