HG - Chapter 6 Review

Front

What is the definition of a perpendicular bisector?

Back

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

Front

Identify the point of concurrency for the medians of a triangle.

Back

Centroid.

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 also the center of the triangle's incircle.

Front

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

Back

Front

What is the relationship between the centroid and the segments it creates?

Back

The centroid divides each median into two segments, with the segment connecting the vertex to the centroid being twice as long as the segment connecting the centroid to the midpoint of the opposite side.

Front

What is the formula for finding the area of a triangle using the inradius?

Back

Area = r * s, where r is the inradius and s is the semi-perimeter of the triangle.

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 triangle's circumcircle.

Front

How do you calculate the inradius of a triangle?

Back

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the balance point of a triangle and is located at the average of the vertices' coordinates.

Front

What is the formula for the area of a triangle given its vertices?

Back