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The angles of quadrilateral are in the ratio 3 : 5 : 9 : Find all the angles of the quadrilateral. Solution: Let the angles of the quadrilateral be 3x, 5x, 9x and 13x. If the diagonals of a parallelogram are equal, then show that it is a rectangle. Show that if the diagonals of a quadrilateral byjus maths class 8 chapter 9 lab each other at right angles, then it is a rhombus.

Alternatively : ABCD can be proved first a parallelogram then proving one pair of adjacent sides equal will result in rhombus. Show that the diagonals of a square are equal and bisect each other at right angles. Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.

Thus, ABCD is a square. ABCD is a rhombus. Question 1. AC is a diagonal. Question 2. Show that the quadrilateral PQRS is a rectangle. Join Byjus maths class 8 chapter 9 lab. Thus, PQRS is a rectangle. Question 3. Show that the quadrilateral PQRS is a rhombus.

Hence, PQRS is a rhombus. Question 4. Show that F is the mid-point of BC. Question 5. Solution: Since, the opposite sides of a parallelogram are parallel and equal. Question byjus maths class 8 chapter 9 lab. Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each.

And the diagonals of a parallelogram bisect each other, i. Thus, the line segments joining the midpoints of opposite sides of a quadrilateral ABCD bisect each. Question 7. ABC is a triangle right angled at C. RD Sharma Class 12 Solutions.

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NCERT Exemplar Class 8 Maths Solutions for Chapter 9 � Comparing Quantities (b) km Explanation: 90% of x is km 90/ ? x = X = ? /90 = ? 10/9 = 6. To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs as (a) Rs (b) Rs (c) Rs (d) Rs ML Aggarwal Solutions for Class 8 Maths Chapter 9 � Direct and Inverse Variation Let length of model be �x� So, 6: x = 9 m: 33 6/x = 9/33 x = (6 ? 33)/9 ? Length of model is 22 cm. 9. The mass of an aluminium rod varies directly with its length. If a 16 cm long rod has a mass of g, find the length of the rod whose mass is g. Solution. CBSE Lab Manual Class 9 Maths creates mathematical awareness in students. It inculcates skill building, positive attitude and learning by doing experiences among students, so that they get acquainted with various mathematics branches such as Algebra, Geometry, Mensuration, Trigonometry, Coordinate Geometry, Statistics and Probability, etc.

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