Triangle Bisectors, Medians, Altitudes and Inequalities in One Triangle

Front

What is a perpendicular bisector?

Back

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

Front

Where is the smallest angle located in a triangle?

Back

Across from the smallest side.

Front

What is the relationship between the sides and angles of a triangle?

Back

The largest angle is across from the longest side, and the smallest angle is across from the shortest side.

Front

What is a median in a triangle?

Back

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

Front

What point of concurrency is formed by the medians of a triangle?

Back

Centroid.

Front

What is an altitude in a triangle?

Back

A perpendicular segment from a vertex to the line containing the opposite side.

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 is perpendicular to the opposite side.

Front

What is the angle bisector?

Back

A line that divides an angle into two equal angles.

Front

What is the significance of the centroid in a triangle?

Back

It is the point where the three medians intersect and is the center of mass.

Front

How do you find the longest side of a triangle?

Back

By identifying the side opposite the largest angle.