5-3 Medians and Altitudes

Front

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

Back

perpendicular

Front

If CF, BE, and AD are the medians of the triangle and BF = 10, find AF.

Back

10

Front

CENTROID THEOREM: The centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side. If VT = 5, how long is TP?

Back

15

Front

The altitudes of a triangle intersect at the _________________________.

Back

Orthocenter

Front

If Z is the centroid, what type of segments are drawn?

Back

medians

Front

What is a median in a triangle?

Back

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

Front

What is the definition of 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 the point where all three medians of a triangle intersect called?

Back

Centroid

Front

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

Back

The median divides the opposite side into two equal segments.

Front

What is the significance of the orthocenter in a triangle?

Back

The orthocenter is the point where all three altitudes intersect.