Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

OpenSessame Group Title

Find the midpoint of each side of the trapezoid. Connect the midpoints. What is the most precise classification of the quadrilateral formed by connecting the midpoints of the sides of the trapezoid?

  • one year ago
  • one year ago

  • This Question is Closed
  1. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1377490333537:dw|

    • one year ago
  2. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I just made it a bit bigger. |dw:1377490546842:dw|

    • one year ago
  3. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1377490654352:dw|

    • one year ago
  4. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    So I know the answer is, The rhombus is a square but i need help finding midpoints.

    • one year ago
  5. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    We can label all midpoints.

    • one year ago
  6. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Im guessing|dw:1377490680684:dw|

    • one year ago
  7. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1377490733250:dw|

    • one year ago
  8. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1377490731812:dw|

    • one year ago
  9. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Alright to do that you just add and divide right?

    • one year ago
  10. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Like the Xs and the Ys respectively?

    • one year ago
  11. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Right. Add each 2 x's and divide by 2. Add each 2 y's and divide by 2.

    • one year ago
  12. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, easier then it sounds!

    • one year ago
  13. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Now we need to see what the quadrilateral made by connecting midpoints is.

    • one year ago
  14. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    A rhombus!

    • one year ago
  15. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1377491112017:dw|

    • one year ago
  16. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Then is you them into right triangles you find that it is a square?

    • one year ago
  17. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1377491168215:dw|

    • one year ago
  18. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    YEA:)

    • one year ago
  19. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Notice that every side of the new quadrilateral is the hypotenuse of a triangle with both legs measuring 2. Therefore, all sides of the quadrilateral are congruent, and the quadrilateral is a rhombus.

    • one year ago
  20. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    The next question is if the rhombus is also a square.

    • one year ago
  21. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    All we need to do is to see if any two consecutive sides are perpendicular.

    • one year ago
  22. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Which they are!

    • one year ago
  23. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1377491486110:dw|

    • one year ago
  24. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    One slope is 1. The other slope is -1. The slopes of two consecutive sides are negative reciprocals, so those two sides are perpendicular.

    • one year ago
  25. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I get it:)

    • one year ago
  26. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1377491738087:dw| Opposite angles of any parallelogram are congruent.

    • one year ago
  27. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Also all angles added up are 360 degrees.

    • one year ago
  28. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1377491805994:dw|

    • one year ago
  29. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    x + x + 90 + 90 = 360 x = 90 All angles measure 90 degrees, and all sides a congruent, so it's a square.

    • one year ago
  30. OpenSessame Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yup:) hey! can you go back to the first question for a second?

    • one year ago
  31. mathstudent55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ok

    • one year ago
    • Attachments:

See more questions >>>

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.