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 the intersection of the three angle bisectors of a triangle?

Back

Incenter

Front

Define the Incenter of a triangle.

Back

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

Front

What is an angle bisector?

Back

A line that divides an angle into two equal parts.

Front

What is a perpendicular bisector?

Back

A line that divides a line segment into two equal parts at a 90-degree angle.

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 a midsegment in a triangle?

Back

A segment that connects the midpoints of two sides 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.

Front

What is the significance of the incenter in relation to the incircle of a triangle?

Back

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