Triangle Centers

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 are altitudes in a triangle?

Back

Altitudes are segments drawn from a vertex of a triangle perpendicular to the opposite side.

Front

What are perpendicular bisectors?

Back

Perpendicular bisectors are lines that divide a segment into two equal parts at a right angle.

Front

What is a median in a triangle?

Back

A median is a segment drawn from a vertex to the midpoint of the opposite side.

Front

What is an angle bisector?

Back

An angle bisector is a segment that divides an angle into two equal angles.

Front

If point P is the circumcenter, which segment is equal to PB?

Back

PC is equal to PB.

Front

What type of segments are drawn from the circumcenter?

Back

Perpendicular bisectors are drawn from the circumcenter.

Front

What special segments are drawn in a triangle when referring to angle bisectors?

Back

Angle bisectors are the special segments drawn.

Front

If m∠CAP = 34°, what is m∠CAB?

Back

m∠CAB = 68°.

Front

How do you find the circumcenter of a triangle?

Back

To find the circumcenter, construct the perpendicular bisectors of at least two sides of the triangle; their intersection is the circumcenter.