5.1-5.2 Special Segments in a Triangle

Front

What is a median in a triangle?

Back

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

Front

What does a perpendicular bisector do?

Back

A perpendicular bisector cuts a side of a triangle into two congruent parts, is perpendicular to that side, and passes through its midpoint.

Front

What is the definition of an altitude in a triangle?

Back

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

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

What is the relationship between perpendicular lines?

Back

Perpendicular lines intersect to form right angles (90 degrees).

Front

How do you find the length of a segment in a triangle?

Back

Use the properties of triangles, such as the Pythagorean theorem or triangle congruence, to find the length.

Front

What is the significance of the centroid in a triangle?

Back

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

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect and is the center of the inscribed circle.

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.