Is the quadrilateral a square? 1) The lengths of 4 sides are

Question

Is the quadrilateral a square?
1) The lengths of 4 sides are equal
2) 2 adjacent angles are right angle.

jackson24nj · Answer

e for me as well.

statement 1) insufficient bc that doesntnecesarrily mean its a square
 2) insufficient bc we only know the adjacent angles are 90 therefore the other 2 can be any combination of 180

question for the group: adjacent means the angles located across from one another correct?

christoph · Answer

C) !

1) rhombus or square 

2) square or rectangle 

1)+2) square

banerjeea_98 · Answer

2nd statement doesn't have to be  only  square or a rectangle, it can be any quadilateral with only 2 adj sides with 90 deg, as the 2nd stem doesn't say that the sides the equal so the rest of the 2 angles don't have to be 90 deg.

anirban16 · Answer

Well 1 indeed implied a rhombus or square

But 2 could be a trapzoid or square or rectangle (Mind it: It is said adjacent angles not meaning any adjacent angles)

Intersection is square hence C

anirban16 · Answer

I have a question - from the 2nd statement what are we supposed to infer?

Only two adjacent angles are right angles or all adjacent angles are right angles. It does not matter in this case but might for another problem.

700Plus · Answer

It does not say "any" 2 adjacent angles are right angles.So, I think you cant assume all (adjacent) are right angles.

banerjeea_98 · Answer

I wud say only 2 adj angles, pick any but only 2 of them

lastochka · Answer

I also go for C
a and b are clearly insufficient
now, if we know that 2 adjacent angels are 90% each, and that all four sides are equal, the only figure one can form is a square

OA??

Is the quadrilateral a square? 1) The lengths of 4 sides are

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