Answer:
Step-by-step explanation:
We know the rhombus has perpendicular diagonals and the diagonals bisect each other.
The diagonals are AD and BC.
- Note. The points C and D should have swapped coordinates. This becomes ABDC.
The midpoint of BC is:
- ([3 + 2]/2,[4 + 1]/2) = (2.5, 2.5)
Use A(x, y) and midpoint formula for the other diagonal AD:
- (x + 4)/2 = 2.5 ⇒ x + 4 = 5 ⇒ x = 1
- (y + 2)/2 = 2.5 ⇒ y + 2 = 5 ⇒ y = 3
Point A has coordinates (1, 3)
Correct choice is B
See the picture
