lillyowens420
Answered

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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)

Sagot :

mhanifa

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

View image mhanifa

Answer:

Step-by-step explanation:

(1,3)

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