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Is quadrilateral Q a square?
(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length
(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length
25 Oct 2013, 08:28
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jlgdr
shubhampandey
yogachgolf
Is quadrilateral Q a square?
(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length
In a parallelogram, not all the sides have the same length from what I understand.
Or am I missing something?
(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length
In a parallelogram, not all the sides have the same length from what I understand.
Or am I missing something?
Parallelogram CAN have all 4 sides of equal length.
Parallelogram A quadrilateral with two pairs of parallel sides.
Properties and Tips
• Opposite sides of a parallelogram are equal in length.
• Opposite angles of a parallelogram are equal in measure.
• Opposite sides of a parallelogram will never intersect.
• The diagonals of a parallelogram bisect each other.
• Consecutive angles are supplementary, add to 180°.
• The area, \(A\), of a parallelogram is \(A = bh\), where \(b\) is the base of the parallelogram and \(h\) is its height.
• The area of a parallelogram is twice the area of a triangle created by one of its diagonals.
A parallelogram is a quadrilateral with opposite sides parallel and congruent. It is the "parent" of some other quadrilaterals, which are obtained by adding restrictions of various kinds:
• A rectangle is a parallelogram but with all angles fixed at 90°
• A rhombus is a parallelogram but with all sides equal in length
• A square is a parallelogram but with all sides equal in length and all angles fixed at 90°
For other properties check polygons chapter of Math Book: math-polygons-87336.html
15 Apr 2014, 01:19
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pawankumargadiya
HI Bunnel,
As you have mentioned that Parallelogram can have four sides equal then definitely its diagonals are also equal and it will become square. why A is not right?
As you have mentioned that Parallelogram can have four sides equal then definitely its diagonals are also equal and it will become square. why A is not right?
If a parallelogram has equal sides it is a rhombus but rhombus is not necessary to have equal diagonals, or in other words not all rhombuses are squares:
Hope it's clear.
