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 the centroid of a triangle?

Back

The point where the three medians of a triangle intersect, dividing each median into a 2:1 ratio.

Tags

CCSS.HSG.CO.C.10

Front

What is a median in a triangle?

Back

A line segment joining a vertex to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

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

Front

What is an angle bisector?

Back

A line that divides an angle into two equal angles.

Tags

CCSS.HSG.CO.C.9

Front

How many medians does a triangle have?

Back

Three, one from each vertex.

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the centroid and the medians?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Tags

CCSS.HSG.CO.C.10

Front

What type of lines are perpendicular bisectors?

Back

Lines that intersect a segment at its midpoint and form right angles with it.

Tags

CCSS.HSG.CO.A.1

Front

What is the significance of the incenter in a triangle?

Back

The point where the angle bisectors of a triangle intersect, which is also the center of the inscribed circle.

Tags

CCSS.HSG.C.A.3

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides of a triangle intersect, which is the center of the circumscribed circle.

Tags

CCSS.HSG.C.A.3