Medians, altitudes, angle bisectors, and perpendicular bisectors

Front

What is a median in a triangle?

Back

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

Front

What is an altitude in a triangle?

Back

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

Front

What is an angle bisector?

Back

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

Front

What is a perpendicular bisector?

Back

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

Front

How do you identify a median in a triangle?

Back

A median can be identified by finding the midpoint of one side and drawing a line from that point to the opposite vertex.

Front

How do you identify an altitude in a triangle?

Back

An altitude can be identified by drawing a line from a vertex to the opposite side such that it forms a right angle.

Front

How do you identify an angle bisector in a triangle?

Back

An angle bisector can be identified by measuring the angles formed and ensuring they are equal.

Front

How do you identify a perpendicular bisector of a line segment?

Back

A perpendicular bisector can be identified by finding the midpoint of the segment and drawing a line that is perpendicular to it.

Front

What is the relationship between medians and centroids in a triangle?

Back

The centroid is the point where all three medians intersect, and it divides each median into a ratio of 2:1.

Front

What is the relationship between altitudes and orthocenters in a triangle?

Back

The orthocenter is the point where all three altitudes intersect.