Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Answerthisnow
Group Title
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?
 2 years ago
 2 years ago
Answerthisnow Group Title
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?
 2 years ago
 2 years ago

This Question is Closed

Answerthisnow Group TitleBest ResponseYou've already chosen the best response.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°.
 2 years ago

Answerthisnow Group TitleBest ResponseYou've already chosen the best response.0
@AccessDenied here it is ^^
 2 years ago

Answerthisnow Group TitleBest ResponseYou've already chosen the best response.0
now when they say DAB is 80 degrees do they mean angle A or what?
 2 years ago

AccessDenied Group TitleBest ResponseYou've already chosen the best response.3
dw:1338659650776:dw That entire angle.
 2 years ago

AccessDenied Group TitleBest ResponseYou've already chosen the best response.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
 2 years ago

AccessDenied Group TitleBest ResponseYou've already chosen the best response.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
 2 years ago

AccessDenied Group TitleBest ResponseYou've already chosen the best response.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
 2 years ago

AccessDenied Group TitleBest ResponseYou've already chosen the best response.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
 2 years ago

Answerthisnow Group TitleBest ResponseYou've already chosen the best response.0
Thank you very much. Four more to go. You up to it? :)
 2 years ago

AccessDenied Group TitleBest ResponseYou've already chosen the best response.3
Yep. :P
 2 years ago
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
 Engagement 19 Mad Hatter
 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.