Page 205 - Maths Class 06
P. 205

9.   Draw a line segment of length 9.2 cm. Construct its perpen dic u lar bisec tor. Measure the two parts
                    in which the perpendicular   bisector divides the line segment. What do you observe?
              10.   Draw a line segment AB of length 10 cm. Draw perpen dic u lars at the end points of AB. Are these
                    two lines parallel?

              11.   Draw any line segment AB. Take a point P not on it. Through P, draw a perpen dic u lar to AB using
                    a ruler and  compass only.

              12.   Draw a line segment of length 8 cm. Use a ruler and compass to construct a perpen dic u lar on a
                    point P  lying on the line segment 3 cm from one end.

                                           Drawing of An Angle Using a Protractor
                                                                                                               ¾®
            Let us draw and angle ABC of 30° with the help of protractor. To draw ÐABC, first draw a ray BC on a
            paper.

                                                  B                             C
                                                              Fig. 14.32

            Now, place the protractor in such a way that the midpoint of the base line coincides with point B [see Fig.
                                                              ¾®                     ¾®
            14.33 (a)] and base line overlaps exactly with ray BC of the angle. Since BC  lies to the right of the midpoint
            of the base line, hence start reading the angles on the inner circle from zero degree and mark at 30° as point A.
            Now remove the protractor and join point A and B. ÐABC is the required angle of 30° [See Fig. 14.33 (b)].


                                   70  80  90  100  110                                                    A
                                60   100  80   120
                              50   120  110  70  60  130
                            40   130            50  140   A
                           30   140               40  30  150
                          20   160  150              20   160
                         10   170                    10   170
                         0   180         O            0   180         C             30°
                                        B                                      B                              C
                                   Fig. 14.33(a)                                             Fig. 14.33(b)


               NOTE
             If ray BC lies to the left of the midpoint of the base line, start                   110   100  90   80
                                                                                                120
             reading the angle on the outer circle from zero and mark at 30°            A   30  40  50  60  70  80   70   60  50   140
                                                                                                      100  110 120 130
                                                                                               130
             as point A. Join A and B Ð ABC is the required angle of 30°.                   20   160  150  140  40  30  20  150 160
                                                                                           10   170           10   170
                                                                                 C         0   180   O        0   180
                                                                                                     B
                                Drawing of an Angle Using a Ruler and a Pair of Compasses

            To Draw an Angle Equal to a Given Angle                                                                C
            Given : An an gle CAB.
            To con struct : An an gle RPQ equal to ÐCAB.

                                                                                             A                        B
                                                                                                       Fig. 14.34

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