Question

A has coordinates (2,-2). B has coordinates (10,14). C is the midpoint of AB. D is the midpoint of CB. Find the coordinates of D.

Answer 1

The coordinates of D are (8, 10).

Step-by-step explanation:

To find the coordinates of point D, we need to find the midpoint of AB (point C) and then find the midpoint of CB (point D). The coordinates of A are (2, -2) and the coordinates of B are (10, 14). To find the midpoint of AB, we average the x-coordinates and the y-coordinates separately.

For the x-coordinate of C, we add the x-coordinate of A and B and divide by 2: (2 + 10) / 2 = 6. For the y-coordinate of C, we add the y-coordinate of A and B and divide by 2: (-2 + 14) / 2 = 6.

The coordinates of C are (6, 6).

To find the midpoint of CB, we repeat the process. For the x-coordinate of D, we add the x-coordinate of C and B and divide by 2: (6 + 10) / 2 = 8. For the y-coordinate of D, we add the y-coordinate of C and B and divide by 2: (6 + 14) / 2 = 10.

Therefore, the coordinates of D are (8, 10).