Relationships in Triangles Review

Front

What is the definition of a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

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

What is the orthocenter of a triangle?

Back

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

Front

What are altitudes in a triangle?

Back

Altitudes are segments drawn from a vertex to the opposite side, forming a right angle with that side.

Front

What are angle bisectors in a triangle?

Back

Angle bisectors are segments that divide an angle into two equal angles.

Front

What is the relationship between the incenter and the incircle?

Back

The incenter is the center of the incircle, which is the circle inscribed within the triangle, tangent to all three sides.

Front

How do you find the length of a segment using the perpendicular bisector?

Back

If a point lies on the perpendicular bisector of a segment, it is equidistant from the endpoints of that segment.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the point where the medians of a triangle intersect, and it is the center of mass of the triangle.

Front

What are medians in a triangle?

Back

Medians are segments drawn from a vertex to the midpoint of the opposite side.