Question

vertex a of a rectangle abcd has a coordinates (3,4). m (1,4) is the midpoint of ab. n (-1,-1) is the midpoint of bc. what are the coordinates of point d?ertex a of a rectangle abcd has a coordinates (3,4). m (1,4) is the midpoint of ab. n (-1,-1) is the midpoint of bc. what are the coordinates of point d?

Answer 1

The coordinates of point D in the rectangle ABCD are (-1,4).

Step-by-step explanation:

To find the coordinates of point D, we need to use the midpoint formula.

Since M is the midpoint of AB and the coordinates of A are (3,4), we can use the formula:

(x1 + x2)/2 = x-coordinate of midpoint

(y1 + y2)/2 = y-coordinate of midpoint

Substituting the values, we get:

(3 + x2)/2 = 1

(4 + y2)/2 = 4

Simplifying the equations, we have:

3 + x2 = 2

4 + y2 = 8

x2 = -1

y2 = 4

Therefore, the coordinates of point D are (-1,4).