Respuesta :

Answer:

The coordinates of the other endpoints are (7, -8)

Explanations:

The coordinates of the first endpoint are (-7, 8)

That is, x₁ = -7, y₁ = 8

The coordinates of the midpoints are (0, 0)

This means that a = 0, b = 0

The coordinates of the final endpoints (x₂ , y₂) can be calculated using the formulae:

[tex]\begin{gathered} \text{a = }\frac{x_2+x_1}{2} \\ b\text{ = }\frac{y_2+y_1}{2} \end{gathered}[/tex]

Substituting the known parameters to get the values of (x₂ , y₂)

[tex]\begin{gathered} 0\text{ = }\frac{x_2+(-7)}{2} \\ x_2-\text{ 7 = 0} \\ x_2=\text{ 7} \\ 0\text{ = }\frac{y_2+8}{2} \\ y_2+8\text{ = 0} \\ y_2=\text{ -8} \\ (x_2,y_2)\text{ = (7, -8)} \end{gathered}[/tex]

The coordinates of the other endpoints are (7, -8)