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Is quadrilateral ABCD a square?

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Source: — Data Sufficiency |
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by swerve » Mon Oct 21, 2019 12:29 pm
BTGmoderatorDC wrote:Image


Is quadrilateral ABCD a square?

(1) AB = BC = CD = DA
(2) AC = BD

OA C

Source: Magoosh
1) Statement 1 tells us all sides are equal. it could be a rhombus, a square, etc. Insufficient \(\Large{\color{red}\chi}\)
2) Statement 2 tells us that the diagonals are equal.. it could be a rectangle, a square or any other quad. Insufficient \(\Large{\color{red}\chi}\)

Combined, we know it can only be a square. Sufficient \(\Large{\color{green}\checkmark}\)
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