Special Segments in Triangles

Front

What is an Angle Bisector?

Back

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

Front

What is the Incenter of a triangle?

Back

The incenter is the point where the three angle bisectors of a triangle intersect, and it is equidistant from all sides of the triangle.

Front

What is the Orthocenter of a triangle?

Back

The orthocenter is the intersection point of the three altitudes of a triangle.

Front

What is a Median in a triangle?

Back

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

Front

What is a Perpendicular Bisector?

Back

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

Front

What is the Centroid of a triangle?

Back

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

Front

If the angle bisector divides an angle of 60 degrees, what are the measures of the two angles?

Back

Each angle measures 30 degrees.

Front

What is the relationship between the Incenter and the triangle's sides?

Back

The incenter is equidistant from all three sides of the triangle.

Front

If a triangle has sides of lengths 6, 8, and 10, what is the length of the median to the longest side?

Back

The length of the median to the longest side (10) is 7.2.

Front

What is the Circumcenter of a triangle?

Back

The circumcenter is the point where the three perpendicular bisectors of a triangle intersect, and it is the center of the circumcircle.