You are watching: A parallelogram with 4 right angles
If we room told the a parallelogram has all sides equal, we recognize is a rhombus?
On the various other hand, we understand a rectangle is a parallel that satisfies 1) all angles equal come 90° and also 2) diagonals that room congruent (i.e. Same diagonals).
If we are told that a parallelogram has actually 4 best angles, or similarly, that a parallelogram has actually congruent diagonals, can we conclude instantly that that is a rectangle?
To amount up: four sides same in a parallelogram is tantamount to perpendicular diagonals and, likewise, 4 right angle in a parallelogram identical to congruent diagonals?
geometry rectangles square
edited Jun 12 "20 at 10:38
inquiry Oct 27 "19 at 11:35
Carlos NCarlos N
6355 bronze badges
add a comment |
1 answer 1
energetic earliest Votes
You have to be clear through the definitions.Definition of parallel is a square whose opposite sides are parallel.Rhombus is characterized to be a quadrilateral with 4 equal sides.Now we deserve to prove the in a parallelogram,the the contrary sides have equal length.Now if 2 adjascent political parties of a parallelogram space equal,then it needs to be a rhombus together per the definition.Rectangle is characterized to it is in a parallel with among its angles a right angle.And square is characterized as a rectangle who adjoining sides are equal.You may find assist from the bookEuclidean geometry a an initial course-A Solomonovich.And please specify her doubts in the question.
edited Oct 27 "19 in ~ 12:23
answered Oct 27 "19 in ~ 12:02
Kishalay SarkarKishalay Sarkar
3,35255 silver- badges2525 bronze title
| show 2 much more comments
Thanks because that contributing solution to mmsanotherstage2019.comematics ridge Exchange!Please be certain to answer the question. Carry out details and share your research!
But avoid …Asking because that help, clarification, or responding to other answers.Making statements based upon opinion; back them up with referrals or personal experience.
Use mmsanotherstage2019.comJax to format equations. Mmsanotherstage2019.comJax reference.
To discover more, view our advice on writing good answers.
See more: How Many Bits In 4 Bytes Is How Many Bits And Bytes, 4 Bytes To Bits Conversion Calculator
Sign up or log in in
authorize up using Google
sign up making use of Facebook
sign up using Email and also Password
Post as a guest
email Required, however never shown
Post together a guest
Required, yet never shown
article Your answer Discard
Not the answer you're spring for? Browse other questions tagged geometry rectangles quadrilateral or ask your very own question.
Featured top top Meta
Why execute rhombus diagonals intersect at ideal angles?
Diagonals the parallelogram intersect at $90^\circ$ if and also only if figure is rhombus
Prove that a parallelogram is (1) rectangle, (2)rhombus, (3) square.
Is a quadrilateral with one pair of opposite angle congruent and also the various other pair noncongruent have to a kite?
offer a name: coordinates proof that a parallel is a rectangle iff the diagonals are congruent
Is it possible to prove a quadrilateral a parallelogram with two consecutive and two the opposite congruent sides?
room diagonals the parallelogram better than that is sides?
deserve to a parallelogram have whole-number lengths for all 4 sides and both diagonals?
Diagonals of the rectangle developed by the edge bisectors that a parallel
Rhombus Identification: 3 sides same + 2 parallel sides?
hot Network concerns more hot questions
subscribe to RSS
question feed To i ordered it to this RSS feed, copy and paste this URL right into your RSS reader.
ridge Exchange Network
site style / logo © 2021 stack Exchange Inc; user contributions licensed under cc by-sa. Rev2021.9.24.40305