Angle Bisectors and Incenter A

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What is the incenter of a triangle?

Back

The incenter of a triangle is the point where the three angle bisectors intersect.

Front

If AY is 8, what is AZ?

Back

AZ is 8.

Front

If BX is 2, what is BZ?

Back

BZ is 2.

Front

What is the point of concurrency of the angle bisectors called?

Back

The point of concurrency of the angle bisectors is called the incenter.

Front

What is the significance of the incenter in a triangle?

Back

The incenter is equidistant from all three sides of the triangle and is the center of the inscribed circle.

Front

How do you find the incenter of a triangle?

Back

To find the incenter, construct the angle bisectors of at least two angles of the triangle; their intersection is the incenter.

Front

What is the relationship between the incenter and the inscribed circle?

Back

The incenter is the center of the inscribed circle, which is tangent to all three sides of the triangle.

Front

What is the centroid of a triangle?

Back

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

Front

What is the circumcenter of a triangle?

Back

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