Page 71 - Mathematics Class - IX
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Assertion-Reason Based Questions
                              Assertion-Reason Based Questions
           Directions for Questions 1 to 5:  In each of the questions given below, there are two statements marked as
           Assertion (A) and Reason (R). Mark your answer as per the codes provided below:
             (a)  Both A and R are true and R is the correct explanation of A.
             (b)  Both A and R are true but R is not the correct explanation of A.

             (c)  A is true but R is false.
             (d)  A is false but R is true.
             Q. 1.  Assertion (A) :  A quadrilateral can have all sides of different lengths and still be a parallelogram.
                  Reason (R)    :  A parallelogram has two pairs of opposite sides parallel to each other.
             Q. 2.  Assertion (A) :  The sum of the measures of all the four angles of a rectangle is 360°.
                  Reason (R)    :  A rectangle is a polygon with four sides and four vertices.

             Q. 3.  Assertion (A) :  If in a cyclic quadrilateral, one angle is 40° then the opposite angle is 140°.
                  Reason (R)    :  Sum of opposite angles in a cyclic quadrilateral is equal to 360°.
             Q. 4.  Assertion (A) :  If three angles of a quadrilateral are 130°, 70°, 60°, and the fourth angle is 100°.
                  Reason (R)    :  The sum of all the angles of a quadrilateral is 360°.

             Q. 5.  Assertion (A) :  Two diameters of a circle intersect each other at right angle. Then the quadrilateral
                                  formed by joining their end-points is a square.

                  Reason (R)    :  Angle in a semi-circle is a right angle.


                                             Crossword Puzzles
                                             Crossword Puzzles
           Complete the following crossword puzzles.         Down

                                            1.                 1.  ___________ is the longest side in a right-angled
                                                                   triangle.

                              2.                               2.  Sides opposite to equal angles are ___________.
                                     3.
                                                               4.  Any line joining two points on the circumference
                      4.                                           of circle is ___________.

            5.
                                                             Across

                                                               3.  Number of semicircle in a circle are _________ .
                                            6.                 5.  Angle in a semi circle is ___________.


                                                               6.  In supplementary  angles, the  ___________  of
                                                                   their measure is 180°.


                                                         Answers

           Case-Study Based Questions:           1. (iii)    2.  (iii)         3.  (ii)
           Assertion-Reason Based Questions:  1. (d)          2.  (b)          3.  (c)        4.  (a)    5.  (a)
           Crossword:                            Down:        1.  hypotenuse   2.  equal                 4.  chord
                                                 Across:      3.  two          5.  right angled          6.  sum



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