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 the triangle to the midpoint of the opposite side.

Front

How do you find the length of a median in a triangle?

Back

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

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 of the triangle.

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

How do you find the perpendicular bisector of a segment?

Back

To find the perpendicular bisector, locate the midpoint of the segment and draw a line perpendicular to the segment at that point.

Front

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

Back

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

Front

In triangle ABC, if AD is a median, what does it imply about BD and DC?

Back

It implies that BD = DC, meaning D is the midpoint of side BC.

Front

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

Back

The centroid is the point where all three medians intersect, and it divides each median into a 2:1 ratio.

Front

How can you determine if a line segment is a median in a triangle?

Back

Check if the segment connects a vertex to the midpoint of the opposite side.