Geometry Chapter 5 5-3 Medians and Centroids

Front

The centroid is the point of concurrency of the 3 ____ of a triangle.

Back

Medians

Front

If AD = 12, find AG.

Back

8

Front

If Z is the centroid, what type of segments are drawn?

Back

Medians

Front

If G is the centroid of triangle ABC and AC= 32, find the length of CE.

Back

16

Front

X is the centroid of the triangle. If BX = 8, find BY.

Back

12

Front

What is a median in a triangle?

Back

A median is a line segment joining a vertex 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 property of the centroid regarding the medians?

Back

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

Front

If a median is drawn from vertex A to side BC, what is the relationship between the segments created?

Back

The median divides side BC into two equal segments.

Front

What is the formula to find the length of a median in a triangle?

Back

Length of median = √(2a² + 2b² - c²) / 4, where a, b, and c are the lengths of the sides.