7-5 Centroid Practice

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, what is the relationship between the segments created by the centroid on the median?

Back

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

Front

What are medians in a triangle?

Back

Medians are line segments that connect a vertex of the triangle to the midpoint of the opposite side.

Front

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

Back

BG = 12.

Front

If BF = 10, what is the length of AF if CF, BE, and AD are the medians?

Back

AF = 10.

Front

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

Back

The centroid.

Front

If ZO = 24 and SZ = 3a - 9, how do you find the value of a?

Back

Set 3a - 9 = 24 and solve for a, which gives a = 19.

Front

If DL = 24, what is the length of DG?

Back

DG = 8.

Front

What is the formula to find the centroid of a triangle given its vertices (x1, y1), (x2, y2), (x3, y3)?

Back

Centroid (G) = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3).

Front

How do you determine the length of a segment created by the centroid on a median?

Back

The length of the segment from the vertex to the centroid is 2/3 of the median's total length.