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 line segment into two equal parts at a 90-degree angle.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is also the center of mass.

Front

If AZ = 24 and X is the centroid, what is AX?

Back

AX = 16 (since the centroid divides each median in a 2:1 ratio).

Front

What is an angle bisector?

Back

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

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 parts at a right angle.

Front

What is the relationship between medians and centroids?

Back

The centroid divides each median into two segments, with the segment connecting the centroid to the vertex being twice as long as the segment connecting the centroid to the midpoint.