lillyowens420
Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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)

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.