Special Segments of a Triangle

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect to form right angles.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is a median of a triangle?

Back

A median of a triangle is a segment with endpoints at a vertex and the midpoint of the opposite side.

Tags

CCSS.HSG.CO.C.10

Front

What is a parallel segment in the context of triangles?

Back

A parallel segment in the context of triangles is a segment that runs parallel to one side of the triangle.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

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

Back

To find the length of a segment in a triangle, you may use the properties of triangles, such as the Pythagorean theorem or triangle congruence.

Front

What is a perpendicular bisector of a triangle?

Back

A perpendicular bisector of a triangle is a segment that is perpendicular to a side of the triangle at its midpoint.

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 it is the center of mass of the triangle.

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the median and the centroid?

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 is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is the center of the circumcircle.

Tags

CCSS.HSG.C.A.3

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is the center of the incircle.

Tags

CCSS.HSG.C.A.3

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the altitudes of a triangle intersect.

Tags

CCSS.HSG.CO.C.10