5-2 Bisectors in Triangles

Front

What is the radius of the inscribed circle of a triangle?

Back

The radius of the inscribed circle (inradius) is the distance from the incenter to the sides of the triangle.

Tags

CCSS.HSG.C.A.3

Front

What is the center of a circle that intersects each side of a triangle at exactly one point?

Back

The center is called the incenter.

Tags

CCSS.HSG.C.A.3

Front

What is an angle bisector of a triangle?

Back

A line that divides an angle into two equal angles.

Tags

CCSS.HSG.CO.C.9

Front

What is a perpendicular bisector of a triangle?

Back

A line that passes through the midpoint of a side of the triangle and is perpendicular to that side.

Front

What is the point of concurrency of the angle bisectors in a triangle called?

Back

The point of concurrency is called the incenter.

Tags

CCSS.HSG.C.A.3

Front

What is the definition of a centroid in a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

What is the definition of an orthocenter in a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

What is the definition of a circumcenter in a triangle?

Back

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

Tags

CCSS.HSG.C.A.3

Front

What is the relationship between the incenter and the sides of a triangle?

Back

The incenter is equidistant from all three sides of the triangle.

Tags

CCSS.HSG.C.A.3

Front

How do you find the inradius of a triangle?

Back

The inradius can be found using the formula: r = A/s, where A is the area of the triangle and s is the semi-perimeter.

Tags

CCSS.HSG.C.A.3