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09 Oct 2019, 22:03
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Difficulty:
95%
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Question Stats:
29% (01:57) correct
71%
(01:34)
wrong
based on 85
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In a quadrilateral ABCD, E is a point of intersection of two diagonals AC and BD. Is ABCD parallelogram?
(1) AE = EC
(2) Angle ADC = Angle ABC
10 Oct 2019, 00:51
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1) In quadrilaterals,
the diagonals bisect each other in .....paralellogram, rectangle, rhombus, square....insuff
2)opp angles are equal in square, rectangle, rhombus, parallelogram...... Insufficient
So based on both 1,2 we cannot conclude whether ABCD is a parallelogram....
OA:E
Posted from my mobile device
the diagonals bisect each other in .....paralellogram, rectangle, rhombus, square....insuff
2)opp angles are equal in square, rectangle, rhombus, parallelogram...... Insufficient
So based on both 1,2 we cannot conclude whether ABCD is a parallelogram....
OA:E
Posted from my mobile device
joohwangie
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10 Oct 2019, 02:57
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In a quadrilateral ABCD, E is a point of intersection of two diagonals AC and BD. Is ABCD parallelogram?
parallelogram have opposite sides of equal length/opposite angle are equal
(1) AE = EC
if AE = EC meaning BC = BA
but we still don't know the length of AD and CD
insufficient
(2) Angle ADC = Angle ABC
We know two opposite angle but doesn't know the other two angle/side.
together is sufficient.
we know that two different opposite sides and two different opposite angles are equal therefore it is a parallelogram.
C
parallelogram have opposite sides of equal length/opposite angle are equal
(1) AE = EC
if AE = EC meaning BC = BA
but we still don't know the length of AD and CD
insufficient
(2) Angle ADC = Angle ABC
We know two opposite angle but doesn't know the other two angle/side.
together is sufficient.
we know that two different opposite sides and two different opposite angles are equal therefore it is a parallelogram.
C
