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4. Rhombus                      Two pairs of       Diagonals /4Cand BD
                                                                       parallel sides.   are not equal but are
                                                                      AB/IDQADIIBC        perpendicular.
                                                                                         They also bisect each
                                                                      All sides are equal.
                                                                                         other.
                                                                      AB = BC=CD = AD

                                      5. Kite                          No parallel sides.  Diagonals AC and BD
                                                                                         are perpendicular.
                                                                      Adjacent sides are
                                                                      equal.

                                                                      AB = AD, CB = CD








                                      6. Trapeziums                   One pair of        Diagonals AC and BD
                                          A                D          parallel sides.    are not equal and do
                                                                                         not bisect each other.
                                                                      ADIIBC

























                                     O ABCD is a square. Find the following angles.
                                         a) ^ADC                            b) Ax

                                        c)  Z.CMD                           d) Ay



                                         Solution
                                        a) ABCD is a square.   Each angle at the corner of
                                            So, zl4DC=90°.     a square is a right angle.

                                         b) ABCD is a square.  The diagonals of a square are
                                            So, Ax = 90°.      perpendicular to each other.

                                        c)  ABCD is a square.  The diagonals of a square are
                                            So, ACMD = 90°.    perpendicular to each other.



            UNIT 6      Angles and Their Properties
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