The coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), an

Practice Questions

Q1
The coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (3, 6) are:
  1. (3, 2)
  2. (2, 3)
  3. (3, 3)
  4. (0, 0)

Questions & Step-by-Step Solutions

The coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (3, 6) are:
Correct Answer: (3, 2)
  • Step 1: Identify the vertices of the triangle. The vertices are (0, 0), (6, 0), and (3, 6).
  • Step 2: Write down the x-coordinates of the vertices: 0, 6, and 3.
  • Step 3: Add the x-coordinates together: 0 + 6 + 3 = 9.
  • Step 4: Divide the sum of the x-coordinates by 3 (the number of vertices): 9 / 3 = 3.
  • Step 5: Write down the y-coordinates of the vertices: 0, 0, and 6.
  • Step 6: Add the y-coordinates together: 0 + 0 + 6 = 6.
  • Step 7: Divide the sum of the y-coordinates by 3: 6 / 3 = 2.
  • Step 8: Combine the results from Step 4 and Step 7 to get the coordinates of the centroid: (3, 2).
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