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23 May 2020, 08:53
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
66% (00:50) correct
34%
(00:59)
wrong
based on 508
sessions
History
Date
Time
Result
Not Attempted Yet
ls quadrilateral RSTV a rectangle?
(1) The measure ∠RST of is 90°.
(2) The measure ∠TVR of is 90°.
DS20463
(1) The measure ∠RST of is 90°.
(2) The measure ∠TVR of is 90°.
DS20463
22 Jun 2020, 05:54
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altairahmad
Bunuel chetan2u VeritasKarishma GMATBusters
Are we going for E because we are taking 'rectangle' as literally a rectangle i.e 2 pairs of opposite sides equal and parallel ? What other shape can be with two opposite angles 90 each ? If its a square then it is a subset of rectangle, otherwise it is a rectangle.
Confused here.
Are we going for E because we are taking 'rectangle' as literally a rectangle i.e 2 pairs of opposite sides equal and parallel ? What other shape can be with two opposite angles 90 each ? If its a square then it is a subset of rectangle, otherwise it is a rectangle.
Confused here.
Think about it: Take a rectangle and split it into two 90 degree angles (each with two unequal sides).
Now you can join them back to make a rectangle but what if you flip them and join? (longer side with longer side) Do you still get a rectangle?
Attachment:
Screenshot 2020-06-22 at 18.24.02.png [ 16.66 KiB | Viewed 10226 times ]
General Discussion
23 May 2020, 09:15
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Bunuel
ls quadrilateral RSTV a rectangle?
(1) The measure ∠RST of is 90°.
(2) The measure ∠TVR of is 90°.
DS20463
(1) The measure ∠RST of is 90°.
(2) The measure ∠TVR of is 90°.
DS20463
Properties of Rectangle:
- It's a parallelogram
- All angles are 90º
- Diagonals are equal
- It's a parallelogram
- All angles are 90º
- Diagonals are equal
Question: Is RSTV a rectangle?
Statement 1: ∠RST = 90°.
NOT SUFFICIENT
Statement 2: ∠TVR = 90°.
NOT SUFFICIENT
Combining the two statements
After combining the two statements we can observe that two diagonally oppositve vertices of a quadrilateral are forming 90º each
But the length of the sides have no relationship to ensure that it's a parallelogram and hence a rectangel
Hence
NOT SUFFICIENT
ANswer: Option E
