Triangle Centers Review

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 segments are drawn to form the centroid of a triangle?

Back

The segments drawn to form the centroid are called medians.

Front

What is the relationship between a midsegment and the sides of a triangle?

Back

A midsegment is parallel to one side of the triangle and its length is half the length of that side.

Front

Which triangle center is known as the 'center of gravity'?

Back

The centroid is known as the 'center of gravity' of a triangle.

Front

If CF, BE, and AD are the medians of a triangle, what can be said about the segments they create?

Back

The medians divide each other in a 2:1 ratio.

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 incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is the center of the triangle's incircle.

Front

How do you find the length of a midsegment in a triangle?

Back

The length of a midsegment is equal to half the length of the side it is parallel to.

Front

What is the orthocenter of a triangle?

Back

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

Front

If a triangle has sides of lengths 6, 8, and 10, what type of triangle is it?

Back

It is a right triangle, as it satisfies the Pythagorean theorem.