Centroids in Geometry Worksheet

Explore the concept of centroids in triangles and other geometric figures with this comprehensive worksheet for Grade 11 mathematics students.

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Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.10CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

mathgeometrycentroidsgrade 11

7 sections · Free to use · Printable

Centroids in Geometry

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. What is the centroid of a triangle?

The intersection of the altitudes

The intersection of the angle bisectors

The intersection of the medians

The intersection of the perpendicular bisectors

2. The centroid divides each median in what ratio?

1:1

1:2

2:1

3:1

3. The centroid is also known as the center of of a triangle.

4. A median of a triangle connects a vertex to the of the opposite side.

5. Consider a triangle ABC with vertices A(1, 5), B(7, 2), and C(4, 9). Calculate the coordinates of the centroid of triangle ABC.

6. In triangle PQR, median PM has a length of 18 units. If G is the centroid of triangle PQR, what is the length of PG?

7. For the triangle shown below, draw all three medians and locate the centroid. Label the vertices A, B, C and the centroid G.

8. The centroid of a triangle always lies inside the triangle.

True

False

9. Every triangle has exactly three medians.

True

False