Question

Without using the distance formula, show
that the points A (4, 5), B (1, 2), C (4, 3) and D (7, 6) are the vertices of a parallelogram​

Answer 1

Step-by-step explanation:

slope of line AB = 2-5 = -3 = 1

1-4 -3

slope of line BC= 3-2 = 1

4-1 3

slope of line CD= 6-3 = 3

= 1

7-4 3

slope of line AD= 6-5 = 1

7-4 3

HERE,

SLOPE OF LINE AB = SLOPE OF LINE CD

& SLOPE OF LINE BC = SLOPE OF LINE AD

LINE AB II LINE CD & LINE BC II LINE AD.

: . POINTS A, B, C &D are the vertices of parallelogram.