Special Segments in Triangles- Part 2

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 Perpendicular Bisector?

Back

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

Front

What is a Median in a triangle?

Back

A median is a segment from a vertex 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

Which special segment does not have to go through a vertex?

Back

The Perpendicular Bisector does not have to go through a vertex.

Front

How many medians can be drawn in a triangle?

Back

Three medians can be drawn in a triangle, one from each vertex.

Front

What is the relationship between the medians of a triangle?

Back

The three medians of a triangle intersect at a point called the centroid, which divides each median into a 2:1 ratio.

Front

What is the significance of the centroid in a triangle?

Back

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

Front

What is the difference between an altitude and a median?

Back

An altitude is perpendicular to the opposite side, while a median connects a vertex to the midpoint of the opposite side.

Front

Can an altitude be outside the triangle?

Back

Yes, in obtuse triangles, the altitude can fall outside the triangle.