Special Segments in Triangles

Front

What is a perpendicular bisector?

Back

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

Front

What is an altitude in a triangle?

Back

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

Front

What is an angle bisector?

Back

A ray that divides an angle into two equal angles.

Front

Identify the segment that represents a median in triangle ABC.

Back

Segment BZ, which connects vertex B to the midpoint of side AC.

Front

How do you identify a perpendicular bisector in a triangle?

Back

Look for a segment that cuts another segment in half at a right angle.

Front

What is the relationship between the altitude and the opposite side in a triangle?

Back

The altitude is always perpendicular to the opposite side.

Front

What is the significance of the median in a triangle?

Back

It helps in finding the center of mass (centroid) of the triangle.

Front

How can you determine if a segment is an angle bisector?

Back

If it divides the angle into two equal angles.

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.