Special Segments in Triangles

Front

What is an altitude in a triangle?

Back

An altitude is a segment from a vertex to the line containing the opposite side, forming a right angle with that side.

Front

What is a median in a triangle?

Back

A median is a segment that connects a vertex to the midpoint of the opposite side.

Front

What does an angle bisector do?

Back

An angle bisector splits an angle into two equal parts.

Front

In which type of triangle can a special segment be outside the triangle?

Back

In obtuse triangles, special segments like the altitude can be outside the triangle.

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, and it does not necessarily pass through a vertex.

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 connects a vertex to the opposite side at a right angle.

Front

Can an altitude be outside of an acute triangle?

Back

No, an altitude cannot be outside of an acute triangle; it always lies inside.

Front

What is the relationship between the angle bisector and the sides of a triangle?

Back

The angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides.

Front

How many medians does a triangle have?

Back

A triangle has three medians, one from each vertex.

Front

What is the significance of the centroid in relation to medians?

Back

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