Median, Altitude & Perpendicular Bisector Identification

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 segment from a vertex to the line containing 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 90-degree angle.

Front

How do you identify a median in a triangle?

Back

Look for a line segment connecting a vertex to the midpoint of the opposite side.

Front

How do you identify an altitude in a triangle?

Back

Look for a line segment that is perpendicular to the opposite side from a vertex.

Front

How do you identify a perpendicular bisector?

Back

Look for a line that cuts a segment into two equal lengths at a right angle.

Front

What is the relationship between a median and the centroid of a triangle?

Back

The centroid is the point where all three medians of a triangle intersect.

Front

What is the relationship between an altitude and the orthocenter of a triangle?

Back

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

Front

Can a line be both a median and an altitude?

Back

Yes, in an isosceles triangle, the median from the vertex angle is also an altitude.

Front

What is the significance of the perpendicular bisector in triangle construction?

Back

The perpendicular bisector can be used to find the circumcenter, the center of the circumcircle.