Special Segments in Triangles

Front

What is an altitude in a triangle?

Back

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

Front

What is a median in a triangle?

Back

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

Front

What is an angle bisector?

Back

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

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a segment that divides another segment into two equal parts at a right angle.

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

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

How do you identify a median in a triangle?

Back

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

Front

What is the relationship between the segments in a triangle?

Back

Each segment (altitude, median, angle bisector, midsegment) serves a different purpose and has unique properties.

Front

What is the significance of the centroid in a triangle?

Back

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

Front

What is the significance of the orthocenter in a triangle?

Back

The orthocenter is the point where the three altitudes intersect.