Medians, altitudes, angle bisectors, and perpendicular bisectors

Front

What is an altitude in a triangle?

Back

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

Front

What is a median in a triangle?

Back

A median is a line segment from a vertex to the midpoint of the opposite side.

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

What is an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

How do you identify an altitude in a triangle?

Back

An altitude can be identified as the segment that forms a right angle with the base from a vertex.

Front

How do you identify a median in a triangle?

Back

A median can be identified as the segment connecting a vertex to the midpoint of the opposite side.

Front

What is the relationship between a perpendicular bisector and a segment?

Back

A perpendicular bisector intersects the segment at its midpoint and forms right angles with it.

Front

What is the significance of an angle bisector in a triangle?

Back

An angle bisector helps in finding the incenter, which is the center of the inscribed circle.

Tags

CCSS.HSG.C.A.3

Front

If a line segment is an altitude, what can be said about the angles it forms with the base?

Back

The angles formed with the base are right angles (90 degrees).

Front

What is the difference between a median and an altitude?

Back

A median connects a vertex to the midpoint of the opposite side, while an altitude is perpendicular to the opposite side.