Is quadrilateral ABCD a rectangle? (1) Angle ABC and BCD are

Question

Is quadrilateral ABCD a rectangle?

(1) Angle ABC and BCD are right angles

(2) The diagonals of the quadrilateral are equal

Fistail · Answer

C. I do not see any big complexity but certainly B is a trap.

Ferihere · Answer

What about square, can it be accepted as rectangle? 

if yes than C
If no than E

Explantion needed:

ywilfred · Answer

St1:
ABCD could be a trapezium.. insufficient.

St2:
Could be a square.

Using st1 and st2:
Could be a square or rectangle.

Ans E

beckee529 · Answer

I encountered a similar question and was wondering about the same thing!! Any quant experts?????

ywilfred · Answer

No, a square is a square and a rectangle is a rectangle. Both are special forms of parallelograms with their own individual properties. For instance, the diagonals of a square intersect at right angles, but the diagonals of a rectangle don't.

Fig · Answer

ywilfred, sorry but I must disagree. A square is at the same time: > a rectangle > a paralellogram > a quadrilateral A square is a special rectangle with a right angle at the intersection of its diagonals

... or... with same length of edges

All properties from a rectangle are verified by a square, making it a rectangle... Indeed, we could represent the figures groups and sub-groups such as my attached picture

Some more references: https://www.mathopenref.com/square.html

bkk145 · Answer

Thanks team.
I am sorry, but I don't know the OA for this one. I am debating with another person about this square/rectangle thing. I say C, but he say E. I just want to know which is correct...

Fig · Answer

A similar debate with a question from MGMAT... the OA is provided

https://www.gmatclub.com/forum/viewtopic.php?t=39781

Ferihere · Answer

if a square can be accepted as rectangle than C

 Ans: C 

Thanks for Explanation

IrinaOK · Answer

Another C,

'a rectangle is defined as a quadrilateral where all four of its angles are right angles'

1 insuff- could be trapezoid
2 insuff- could be trapezoid with two equal sides

both suff, C, no way we can construct figure with two right angles and two diff diagonals.

Is quadrilateral ABCD a rectangle? (1) Angle ABC and BCD are

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