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# Is ABDC a square? (1) BC is perpendicular to AD. (2) BE = EC

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Math Expert
Joined: 02 Sep 2009
Posts: 51159
Is ABDC a square? (1) BC is perpendicular to AD. (2) BE = EC  [#permalink]

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17 Oct 2017, 22:44
00:00

Difficulty:

25% (medium)

Question Stats:

73% (00:47) correct 27% (00:48) wrong based on 39 sessions

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Is ABDC a square?

(1) BC is perpendicular to AD.
(2) BE = EC

Attachment:

2017-10-18_1043.png [ 6.24 KiB | Viewed 654 times ]

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Manager
Joined: 05 Dec 2016
Posts: 244
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: Is ABDC a square? (1) BC is perpendicular to AD. (2) BE = EC  [#permalink]

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18 Oct 2017, 02:08
(1) no info about side dimensions
(1) + (2)
ABCD can still be rhombus either square taking both conditions are valid.

Manager
Joined: 09 Aug 2017
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Re: Is ABDC a square? (1) BC is perpendicular to AD. (2) BE = EC  [#permalink]

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23 Oct 2017, 17:19
E
St1, we are missing information about the sides.
St2, It could still be a rhombus if the two diagonals are perpendicular.
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I'd love to hear any feedback or ways to improve my problem solving. I make a lot of silly mistakes. If you've had luck improving on stupid mistakes, I'd love to hear how you did it.

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Re: Is ABDC a square? (1) BC is perpendicular to AD. (2) BE = EC &nbs [#permalink] 23 Oct 2017, 17:19
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