Question

Find the coordinate point for A that would make ABDC a rhombus. coordinate plane with points B 3 comma 4, and C at 2 comma 1, and D at 4 comma 2 (2, 3) (1, 3) (3, 0) (4, 0)

Answer 1

Answer:

Step-by-step explanation:

(1,3)

Answer 2

Answer:

• B.  (1, 3)

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