GEOCCR Chapter 5 Flashcard 1

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect. It is also the center of mass of the triangle.

Front

If AG is 16 and G is the centroid, what is the length of GD?

Back

GD is 8. The centroid divides each median in a 2:1 ratio.

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 equidistant from all sides of the triangle.

Front

If P is the incenter of triangle JKL, what does OP represent?

Back

OP represents the distance from the incenter P to one of the sides of the triangle.

Front

What is the measure of angle Y if the options are 60, 40, 140, 100?

Back

The measure of angle Y is 140.

Front

The incenter of a triangle is equidistant from the __________ of a triangle.

Back

sides.

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex of the triangle to the midpoint of the opposite side.

Front

What is the relationship between the centroid and the vertices of a triangle?

Back

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

Front

What is an angle bisector?

Back

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

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 equidistant from all vertices.