{"id":15599,"date":"2024-02-29T06:04:10","date_gmt":"2024-02-29T00:34:10","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=15599"},"modified":"2024-02-29T15:22:31","modified_gmt":"2024-02-29T09:52:31","slug":"selina-icse-solutions-class-9-maths-rectilinear-figures-quadrilaterals-parallelogram-rectangle-rhombus-square-trapezium","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/selina-icse-solutions-class-9-maths-rectilinear-figures-quadrilaterals-parallelogram-rectangle-rhombus-square-trapezium\/","title":{"rendered":"Selina Concise Mathematics Class 9 ICSE Solutions Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]"},"content":{"rendered":"

Selina Concise Mathematics Class 9 ICSE Solutions Rectilinear Figures [Quadrilaterals<\/a>: Parallelogram, Rectangle, Rhombus, Square and Trapezium]<\/span><\/h2>\n

ICSE Solutions<\/a>Selina ICSE Solutions<\/a><\/p>\n

APlusTopper.com provides step by step solutions for Selina Concise Mathematics Class 9 ICSE Solutions Chapter 14 Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]. You can download the Selina Concise Mathematics ICSE Solutions for Class 9 with Free PDF download option. Selina Publishers Concise Mathematics for Class 9 ICSE Solutions all questions are solved and explained by expert mathematic teachers as per ICSE board guidelines.<\/p>\n

Download Formulae Handbook For ICSE Class 9 and 10<\/a><\/p>\n

Selina ICSE Solutions for Class 9 Maths Chapter 14 Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]<\/strong><\/p>\n

Exercise 14(A)<\/strong><\/span><\/p>\n

Solution 1:<\/strong><\/span>
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Solution 2:<\/strong><\/span>
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Solution 3:<\/strong><\/span>
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Solution 4:<\/strong><\/span>
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\nIn this linear equation n and k must be integer. Therefore to satisfy this equation the minimum value of k must be 6 to get n as integer.
\nHence the number of sides are: 5 + 6 = 11.<\/p>\n

Solution 5:<\/strong><\/span>
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Solution 6:<\/strong><\/span>
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Solution 7:<\/strong><\/span>
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Solution 8:<\/strong><\/span>
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Solution 9:<\/strong><\/span>
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Solution 10:<\/strong><\/span>
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Solution 11:<\/strong><\/span>
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Exercise 14(B)<\/strong><\/span><\/p>\n

Solution 1:<\/strong><\/span>
\n(i)True.
\nThis is true, because we know that a rectangle is a parallelogram. So, all the properties of a parallelogram are true for a rectangle. Since the diagonals of a parallelogram bisect each other, the same holds true for a rectangle.
\n(ii)False
\nThis is not true for any random quadrilateral. Observe the quadrilateral shown below.
\n\"Selina
\nClearly the diagonals of the given quadrilateral do not bisect each other. However, if the quadrilateral was a special quadrilateral like a parallelogram, this would hold true.
\n(iii)False
\nConsider a rectangle as shown below.
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\nIt is a parallelogram. However, the diagonals of a rectangle do not intersect at right angles, even though they bisect each other.
\n(iv)True
\nSince a rhombus is a parallelogram, and we know that the diagonals of a parallelogram bisect each other, hence the diagonals of a rhombus too, bisect other.
\n(v)False
\nThis need not be true, since if the angles of the quadrilateral are not right angles, the quadrilateral would be a rhombus rather than a square.
\n(vi)True
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\nA parallelogram is a quadrilateral with opposite sides parallel and equal.
\nSince opposite sides of a rhombus are parallel, and all the sides of the rhombus are equal, a rhombus is a parallelogram.
\n(vii)False
\nThis is false, since a parallelogram in general does not have all its sides equal. Only opposite sides of a parallelogram are equal. However, a rhombus has all its sides equal. So, every parallelogram cannot be a rhombus, except those parallelograms that have all equal sides.
\n(viii)False
\nThis is a property of a rhombus. The diagonals of a rhombus need not be equal.
\n(ix)True
\nA parallelogram is a quadrilateral with opposite sides parallel and equal.
\nA rhombus is a quadrilateral with opposite sides parallel, and all sides equal.
\nIf in a parallelogram the adjacent sides are equal, it means all the sides of the parallelogram are equal, thus forming a rhombus.
\n(x)False
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\nObserve the above figure. The diagonals of the quadrilateral shown above bisect each other at right angles, however the quadrilateral need not be a square, since the angles of the quadrilateral are clearly not right angles.<\/p>\n

Solution 2:<\/strong><\/span>
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Solution 3:<\/strong><\/span>
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Solution 4:<\/strong><\/span>
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Solution 5:<\/strong><\/span>
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Solution 6:<\/strong><\/span>
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Solution 7:<\/strong><\/span>
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Solution 8:<\/strong><\/span>
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Solution 9:<\/strong><\/span>
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Solution 10:<\/strong><\/span>
\nWe know that AQCP is a quadrilateral. So sum of all angles must be 360.
\n\u2234 x + y + 90 + 90 = 360
\nx + y = 180
\nGiven x:y = 2:1
\nSo substitute x = 2y
\n3y = 180
\ny = 60
\nx = 120
\nWe know that angle C = angle A = x = 120
\nAngle D = Angle B = 180 – x = 180 – 120 = 60
\nHence, angles of parallelogram are 120, 60, 120 and 60.<\/p>\n

Exercise 14(C)<\/strong><\/span><\/p>\n

Solution 1:<\/strong><\/span>
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Solution 2:<\/strong><\/span>
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Solution 3:<\/strong><\/span>
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Solution 4:<\/strong><\/span>
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Solution 5:<\/strong><\/span>
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Solution 6:<\/strong><\/span>
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Solution 7:<\/strong><\/span>
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Solution 8:<\/strong><\/span>
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Solution 9:<\/strong><\/span>
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Solution 10:<\/strong><\/span>
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Solution 11:<\/strong><\/span>
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Solution 12:<\/strong><\/span>
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Solution 13:<\/strong><\/span>
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Solution 14:<\/strong><\/span>
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Solution 15:<\/strong><\/span>
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Solution 16:<\/strong><\/span>
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Solution 17:<\/strong><\/span>
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Solution 18:<\/strong><\/span>
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Solution 19:<\/strong><\/span>
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More Resources for Selina Concise Class 9 ICSE Solutions<\/strong><\/p>\n