Question

What are the coordinates of the centroid of a triangle with vertices at D (0, 0), E (–8, 0), and F (–7, – 6)? ANSWERS: A) (–5, –2) B) (2, 5) C) (–2, –5) D) (5, 2)

Answer 1

Answer:

A) ( -5 , -2)

Centro-id of  a triangle  = ( -5 , -2)

Step-by-step explanation:

Given  the  vertices at D (0, 0), E (–8, 0), and F (–7, – 6)

Centro-id of triangle

                     =  $(\frac{x_{1} + x_{2} + x_{3} }{3} ,\frac{y_{1}+y_{2} +y_{3} }{3} )$

                    = $(\frac{0-8-7 }{3} ,\frac{0+0-6 }{3} )$

                    = $(\frac{-15}{3} ,\frac{-6}{3} )$

                    = ( -5 , -2)

Final answer:-

Centro-id of  a triangle  = ( -5 , -2)

Answer 2

Answer:

(-5,-2)

Step-by-step explanation:

I took the exam and got the question correct :)