A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Circle Q has a diameter WY. Point W is located at (3, −2), and point Y is located at (5, −6). Which of the following ordered pairs represents point Q, the center of the circle? F (8, −8) G (4, −4) H (−1.5, 1.5) J (3, −6)

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    G

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Since the diameter is the chord passing the center of the circle, you know that segment WQ is congruent to segment YQ. This means you must find the midpoint of the diameter using the given points. Midpoint coordinate for X = (x1+x2) / 2 (average of given x coordinates of W and Y). Midpoint coordinate for Y = (y1+y2) / 2 (average of given y coordinates of W and Y).

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The final answer is calculated by plugging in the values to the midpoint formulas. Mid point x coordinate = (5+3) /2 = 8 /2 = 4 Mid point y coordinate = (-2-6) /2 = -8 /2 = -4 So the center of the diameter (also known as the midpoint of the diamenter) is (4,-4). Answer G is correct.

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you so much

  5. anonymous
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks for showing how to solve

  6. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.