Test Review: Triangle Congruency

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

Back

BG = 12. The centroid divides each median into a ratio of 2:1.

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

What is the relationship between the lengths of the segments created by the centroid on a median?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Front

Complete the congruence statement: Triangle ABC is congruent to triangle ___?

Back

Triangle PRC.

Front

What are the three points of concurrency in a triangle?

Back

The centroid, circumcenter, and orthocenter.

Front

What is the point of concurrency of the medians of a triangle called?

Back

The centroid.

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the significance of the centroid in triangle geometry?

Back

The centroid is the balance point of the triangle and is located 2/3 of the distance from each vertex along the median.

Front

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.