Centroid

Front

What is the centroid of a triangle?

Back

The centroid is the point of concurrency of the three medians of a triangle.

Front

What segments are drawn to find the centroid?

Back

Medians are drawn to find the centroid.

Front

What is a median in a triangle?

Back

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

Front

How many medians does a triangle have?

Back

A triangle has three medians.

Front

What is the relationship between the centroid and the medians?

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

If G is the centroid and BE = 18, what is the length of BG?

Back

BG = 12.

Front

If G is the centroid and GE = 7, what is the length of BE?

Back

BE = 21.

Front

What is a perpendicular bisector?

Back

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

Front

How does a perpendicular bisector relate to a triangle?

Back

The perpendicular bisectors of the sides of a triangle intersect at a point called the circumcenter.

Front

What is the difference between a median and an altitude?

Back

A median connects a vertex to the midpoint of the opposite side, while an altitude is a perpendicular segment from a vertex to the line containing the opposite side.