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             \ 07-Nov-2024  Bharat Arora   Proof-8             Reader’s Sign _______________________ Date __________





              9.  The picture of the regulator of a fan (at the ‘OFF’ position) is shown. By how many
                 degrees does it have to be turned if I want to turn it from the ‘OFF’ position to speed   OFF
                 ‘4’?                                                                                    5     1
                 (a)  160°               (b)  240°                (c)  288°                (d)  360°     4     2
                                                                                                            3
             10.  Nidhi has cut out a semi-circular piece from a plastic sheet
                 and divided it into 8 equal parts as shown. She wants to use
                 this to measure angles. Which of the following angles will
                 she be able to measure accurately using this semi-circular
                 piece?
                (a)  30°                 (b)  45°                 (c)  60°                 (d)  100°
              B.  Assertion and Reason Type Questions.

                 In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
                 Choose the correct option.
                (a)  Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
                 (b)  Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion
                    (A).
                 (c)  Assertion (A) is true but Reason (R) is false.

                (d)  Assertion (A) is false but Reason (R) is true.
                                                      q  p

              1.  Assertion (A): In the figure, p || q.         r



                  Reason (R):  Two lines that lie in the same plane and never intersect each other are known as
                                parallel lines.
              2.  Assertion (A): A divider is a more effective tool than a ruler for determining the length of a line segment.
                  Reason (R):  A line segment can be measured with the use of a divider to eliminate errors that may
                                arise from the thickness and angular viewing of the line segment while measuring it
                                with a ruler.
              3.  Assertion (A): In the given figure, if point A is shifted to point B along the ray PX such that PB = 2PA,
                                then the measure of ∠BPY is greater than 45°.
                                                                 X
                                                              B
                                                          A

                                                            45°
                                                      P                 Y
                  Reason (R):  Increasing the arms of an angle on the paper does not affect the measure of the angle.
              C.  Fill in the blanks.
              1.  A ray has only .................... end point.

              2.  A line segment has a .................... length.
              3.  If two co-planar lines are non-intersecting, then they will be .................... .

              4.  An angle whose measure is more than 0° but less than 90°, is called an .................... angle.

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