Question

A (1, -3)

B (1, 0)
C (4, 2)
Parallelogram ABCD has the coordinates:
Find the coordinates of point D.
A) (4, 0)
B) (4, -1)
C) (3, -1)
D) (5, -2)

Answer 1

B) (4, -1)

Explanation:

Answer 2

gradient of AB = y1-y2/x1-x2
= -3-0/1-1
= -3/0

gradient of AB = gradient of CD (as AB is parallel to CD)

therefore D = 3+y3/0+x3
= -3+2/0+4
= -1/4

since y/x of D = -1/4,
the coordinates of D is (4,-1) [option B]


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hope this helps! :)))