Question

What are the coordinates of the centroid of a triangle with vertices at d (0, 0), e (–8, 0), and f (–7, – 6)? question 11 options:

a) (–2, –5)
b) (5, 2)
c) (2, 5)
d) (–5, –2)

Answer 1

The centroid of a triangle with vertices at D(0, 0), E(-8, 0), and F(-7, -6) is located at the coordinates d. (-5, -2).

Step-by-step explanation:

The centroid of a triangle is found by taking the average of the x-coordinates and the average of the y-coordinates of the three vertices of the triangle. Given the vertices D(0, 0), E(-8, 0), and F(-7, -6), we calculate the centroid coordinates as follows:

• Average of the x-coordinates: (0 - 8 - 7) / 3 = -5
• Average of the y-coordinates: (0 + 0 - 6) / 3 = -2

Therefore, the coordinates of the centroid are (-5, -2).