HW 5.2

Front

What is the point of concurrency where the three perpendicular bisectors of a triangle intersect?

Back

Circumcenter

Front

Which point of concurrency is equidistant from the vertices of a triangle?

Back

Circumcenter

Front

What is the point of concurrency where the three angle bisectors of a triangle intersect?

Back

Incenter

Front

Which point of concurrency is equidistant from the sides of a triangle?

Back

Incenter

Front

Define: INCENTER OF A TRIANGLE

Back

The intersection point of the three angle bisectors of a triangle.

Front

What is the relationship between the circumcenter and the circumcircle of a triangle?

Back

The circumcenter is the center of the circumcircle, which passes through all three vertices of the triangle.

Front

How can you find the circumcenter of a triangle?

Back

By constructing the perpendicular bisectors of at least two sides of the triangle and finding their intersection.

Front

What is the significance of the incenter in triangle geometry?

Back

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

Front

How do you find the incenter of a triangle?

Back

By constructing the angle bisectors of all three angles and finding their intersection.

Front

What is the difference between the circumcenter and the incenter?

Back

The circumcenter is equidistant from the vertices, while the incenter is equidistant from the sides.