Special Segments in Triangles

Front

What is a median in a triangle?

Back

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

Front

Which segment is the median in triangle ABC if BZ connects vertex B to the midpoint of AC?

Back

BZ is the median.

Front

What is an angle bisector?

Back

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

Front

What is the purpose of 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 an altitude in a triangle?

Back

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

Front

Identify the segment that connects the midpoints of two sides of a triangle.

Back

This segment is called a midsegment.

Front

What is the relationship between the lengths of the midsegment and the sides of the triangle?

Back

The midsegment is half the length of the side it is parallel to.

Front

How do you identify an angle bisector in a triangle?

Back

An angle bisector can be identified as the segment that splits the angle into two equal parts.

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 significance of the centroid in relation to medians?

Back

The centroid is the point where all three medians of a triangle intersect.