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

Answerthisnow

The figure below shows a parallelogram ABCD with perpendicular diagonals AC and BD. If it is given that angle DAB is 80°, which statement is sufficient to guarantee that the parallelogram is a rhombus with all sides equal?

  • one year ago
  • one year ago

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

    Angle CAB is 40°, and angle DBA is 50°. Angle CAB is 50°, and angle DBA is 60°. Angle DBA is 40°. Angle CAB is 60°.

    • one year ago
  2. Answerthisnow
    Best Response
    You've already chosen the best response.
    Medals 0

    • one year ago
    1 Attachment
  3. Answerthisnow
    Best Response
    You've already chosen the best response.
    Medals 0

    @AccessDenied here it is ^^

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

    now when they say DAB is 80 degrees do they mean angle A or what?

    • one year ago
  5. AccessDenied
    Best Response
    You've already chosen the best response.
    Medals 3

    |dw:1338659650776:dw| That entire angle.

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

    ah k

    • one year ago
  7. AccessDenied
    Best Response
    You've already chosen the best response.
    Medals 3

    I am thinking this deals with the idea that the diagonals should bisect their respective angles... so I believe we can assume this is true for it to be a rhombus: |dw:1338659975193:dw|

    • one year ago
  8. AccessDenied
    Best Response
    You've already chosen the best response.
    Medals 3

    So, if we are bisecting an angle of 80 degrees, then we know that the bisected angle is 1/2 of 80, or 40: |dw:1338660097272:dw|

    • one year ago
  9. AccessDenied
    Best Response
    You've already chosen the best response.
    Medals 3

    So, you can also conclude that the other angle using the sum of interior angles of a triangle. 40 + x + 90 = 180, x = 50 Now, which answer 'fits' for our diagram now? |dw:1338660264049:dw|

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

    A :D

    • one year ago
  11. AccessDenied
    Best Response
    You've already chosen the best response.
    Medals 3

    Yep! Basically, we just assume that it is a rhombus, and that the properties of a rhombus apply. The ideal answer should just pop out as we fill in the information. :D

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

    Thank you very much. Four more to go. You up to it? :)

    • one year ago
  13. AccessDenied
    Best Response
    You've already chosen the best response.
    Medals 3

    Yep. :P

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

    :D

    • 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.