yasm33n13
Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

The diagonals of quadrilateral EFGH intersect at D(1,3). EFGH has vertices at E(2,6) and F(-4,5). What must be the coordinates of G and H to ensure that EFGH is
a parallelogram?

Sagot :

mhanifa

Answer:

  • G(0, 0), H(6, 1)

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

Point D is the midpoint of both diagonals.

Endpoint of EG is point G with coordinates (x, y):

  • (2 + x)/2 = 1 ⇒ 2 + x = 2 ⇒ x = 0
  • (6 + y)/2 = 3 ⇒ 6 + y = 6 ⇒ y = 0
  • G = (0, 0)

Endpont of FH is point H with coordinates (x, y):

  • (-4 + x)/2 = 1 ⇒ - 4 + x = 2 ⇒ x = 4 + 2 ⇒ x = 6
  • (5 + y)/2 = 3 ⇒ 5 + y = 6 ⇒ y = 6 - 5 ⇒ y = 1
  • H = (6, 1)
View image mhanifa
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. 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. Stay informed by coming back for more detailed answers.