Lillyowens420idn
Answered

IDNLearn.com is the place where your questions are met with thoughtful and precise answers. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.

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 :

Mhanifaidn

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)

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.