Special Segments of 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 the circumcenter of a triangle?

Back

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

Front

What is an angle bisector?

Back

A ray that divides an angle into two equal angles.

Front

What is an altitude in a triangle?

Back

A segment from a vertex perpendicular to the opposite side.

Front

What is a median in a triangle?

Back

A segment from a vertex to the midpoint of the opposite side.

Front

What is the centroid of a triangle?

Back

The point where the three medians of a triangle intersect.

Front

What is the inscribed circle of a triangle?

Back

A circle that is tangent to all sides of the triangle, centered at the incenter.

Front

What is the circumcircle of a triangle?

Back

A circle that passes through all three vertices of the triangle, centered at the circumcenter.

Front

What is a midsegment in a triangle?

Back

A segment connecting the midpoints of two sides of a triangle.

Front

How do you construct the circumcenter of a triangle?

Back

By finding the intersection of the perpendicular bisectors of the sides.