Altitude, median, perp bisector

Front

What is an altitude in a triangle?

Back

An altitude is a line segment from a vertex to the opposite side, forming a right angle with that 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 segment into two equal parts at a right angle.

Front

What does an angle bisector do?

Back

An angle bisector splits an angle into two equal angles.

Front

Do perpendicular bisectors have to go through the vertex of a triangle?

Back

No, perpendicular bisectors do not have to go through the vertex.

Front

If CF, BE, and AD are the medians of a triangle, what can be said about their intersection?

Back

They intersect at a point called the centroid, which divides each median into a 2:1 ratio.

Front

What is the relationship between the lengths of segments created by a median?

Back

The median divides the opposite side into two equal segments.

Front

How do you find the length of a segment when given a median?

Back

If a median divides a segment into two equal parts, you can find the length of one part by dividing the total length by 2.

Front

What is the measure of QN if PQ is the perpendicular bisector of MN and MN = 28?

Back

QN = 14.

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 connects a vertex to the opposite side at a right angle.