Special Segments in Triangles

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 is 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 an angle bisector in a triangle?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

What is a perpendicular bisector in a triangle?

Back

A perpendicular bisector is a line that is perpendicular to a segment at its midpoint.

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

In which type of triangle can a special segment be on the triangle?

Back

In a right triangle, special segments such as altitudes can lie on the triangle.

Tags

CCSS.HSG.CO.C.10

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 ratio of 2:1.

Tags

CCSS.HSG.CO.C.10

Front

How many perpendicular bisectors does a triangle have?

Back

A triangle has three perpendicular bisectors, one for each side.

Tags

CCSS.HSG.CO.C.9

Front

What is the significance of the centroid in a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the angle bisectors of a triangle?

Back

The three angle bisectors of a triangle intersect at a point called the incenter, which is the center of the triangle's incircle.

Tags

CCSS.HSG.C.A.3