Question

ABCD is a parallelogram.

The coordinates of point A are (2,5)
x = (4,0) and y = (5,12)

Find the coordinates of points B and C.

Answer 1

B(6, 5), C(1, -7)

Explanation:

A(2, 5)

From A to B, there is translation x, (4, 0).

Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.

B(2 + 4, 5 + 0) = B(6, 5)

From C to B there is the translation y, (5, 12).

Since we are going from B to C, we undo translation y.

The translation from B to C is (-5, -12).

C(6 - 5, 5 - 12) = C(1, -7)