kannn Posted July 31, 2007 Share Posted July 31, 2007 Q-I) Is quadrilateral ABCD a rectangle? (1) Line segments AC and BD bisect one another. (2) Angle ABC is a right angle. C Q-II) Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD are perpendicular bisectors of each other. (2) AB = BC = CD = AD D I didnt quite get the answers initially. But later understood it. Does all the Squares can be considered as Rectangle??? [Ans behind Q1] Does all the Squares can be considered as Rhombus??? [Ans behind Q2] I think there is some kind of subset kind of relationship between Rectangle - Square - Rhombus and Parallelogram. Can someone list it out please? Please explain your answers. Thanks guys. Quote Link to comment Share on other sites More sharing options...
ken_english Posted August 1, 2007 Share Posted August 1, 2007 for Q2, shouldn't a rhombus have all sides equal ? Quote Link to comment Share on other sites More sharing options...
givemeanid Posted August 1, 2007 Share Posted August 1, 2007 All squares are rhombus. Inverse is not true. All squares are rectangles. Inverse is not true. Squares, rhombuses and rectangles are parallelograms. Quote Link to comment Share on other sites More sharing options...
kannn Posted August 1, 2007 Author Share Posted August 1, 2007 Thank you so much givemeanid.Sply for the 3rd one. Quote Link to comment Share on other sites More sharing options...
shool Posted August 2, 2007 Share Posted August 2, 2007 I differ on this point: all squares are rectangles. squares are NOT a special case of rectangles. In a rectangle opposite sides need to be equal but in a square all sides have to be equal. This does not mean that a square is subset of rectangle. Yes square is a special case of a rhombus becoz: Rhombus: all sides are equal and diagonals are equal and bisect each other Square: all sides are equal and 90degrees and diagonals are equal and bisect each other. So a square is a special case of rhombus. Quote Link to comment Share on other sites More sharing options...
kannn Posted August 2, 2007 Author Share Posted August 2, 2007 "In a rectangle opposite sides need to be equal but in a square all sides have to be equal." shool, of course in square opposite sides are equal (not only opposite sides, but also all the sides). So it is rectangle. But vice-versa is not true. Quote Link to comment Share on other sites More sharing options...
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