Given the points A, B, C, and D. B is the midpoint of AC and C is the midpoint of AD. If the coordinates of point A and point D are (-5, 9) and (7, 1) respectively, find the coordinates of points B and C.

Respuesta :

Using the midpoint concept, it is found that:

  • The coordinates of point B are (-2,7).
  • The coordinates of point C are (1,5).

What is the midpoint concept?

  • The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

The coordinates of point A and point D are (-5, 9) and (7, 1). Point C is the midpoint of AD, hence:

[tex]x_C = \frac{-5 + 7}{2} = 1[/tex]

[tex]y_C = \frac{9 + 1}{2} = 5[/tex]

The coordinates of point C are (1,5).

Point B is the midpoint of AC, hence:

[tex]x_B = \frac{-5 + 1}{2} = -2[/tex]

[tex]y_B = \frac{9 + 5}{2} = 7[/tex]

The coordinates of point B are (-2,7).

You can learn more about the midpoint concept at https://brainly.com/question/10956693