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11 Jan 2022, 17:02
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
43% (00:49) correct
57%
(00:47)
wrong
based on 63
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Is parallelogram PQRS a rhombus?
(1) PQ=QR=RS=SP
(2) The line segments SQ and RP are perpendicular bisectors of each other.
(1) PQ=QR=RS=SP
(2) The line segments SQ and RP are perpendicular bisectors of each other.
31 Jan 2022, 09:35
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Question is testing definition of a rhombus.
A rhombus is a special type of square.
A square and therefore a rhombus will have the following:
i) Equal sides
ii) diagonal bisectors that are perpendicular
If either of the two are met then we can be sure it is a rhombus. This now makes the question a lot easier!
1) PQ=QR=RS=SP
Hence all sides are equal. ==> Suff.
2) The line segments SQ and RP are perpendicular bisectors of each other.
Hence opposite sides diagonals are bisectors. ==> Suff.
===> D
A rhombus is a special type of square.
A square and therefore a rhombus will have the following:
i) Equal sides
ii) diagonal bisectors that are perpendicular
If either of the two are met then we can be sure it is a rhombus. This now makes the question a lot easier!
1) PQ=QR=RS=SP
Hence all sides are equal. ==> Suff.
2) The line segments SQ and RP are perpendicular bisectors of each other.
Hence opposite sides diagonals are bisectors. ==> Suff.
===> D
01 Feb 2022, 06:24
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Parallelogram --> Rhombus --> Square
Rhombus is a subset of parallelogram, so we can say a Rhombus is a special type of Parallelogram
Square is a subset of rhombus, so we can say a Square is a special type of Rhombus
In other words, all Squares are Rhombuses but not all Rhombuses are Squares.
Rhombus is a subset of parallelogram, so we can say a Rhombus is a special type of Parallelogram
Square is a subset of rhombus, so we can say a Square is a special type of Rhombus
In other words, all Squares are Rhombuses but not all Rhombuses are Squares.
