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Page 37 - CT&AI_CLasa_7_Part_1
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    cbse handbook questions

                      Tick ( ) the correct option.
                      1.  If dots of the same colour are connected to     3.  Is  the given triangle isosceles,  scalene, or
                         form triangles, which triangle is not formed by     equilateral?
                         any coloured dots?                                  Information 1: The given triangle is similar to a
                                                                             right-angled triangle
                                             2 cm                            Information  2:  The given triangle  is  not  a
                                                                             scalene triangle
                                 2 cm                                        To answer the  given  question,  which of the
                                                    4 cm                     given information is/are sufficient?

                                                                                    (a)  Only 1         (b)  Only 2

                                          4 cm                                      (c)  Both 1 and 2 together
                               (a)  Right-angled triangle
                                                                                    (d)  Question cannot be answered even
                                                                                       if both  pieces  of information  are
                               (b)  Obtuse angled triangle
                                                                                       used
                               (c)  Equilateral triangle                  4.  Each  option  contains  exactly  two types  of
                                                                             triangles  from the  following:  a  right-angled
                               (d)  Isosceles triangle                       triangle, an equilateral triangle, and a scalene
                                                                             triangle. Which option contains both a right-
                      2.  Two triangles,  triangle X and  triangle Y,  are   angled triangle and an equilateral triangle?
                         given. Only  partial  information  about  their
                         corresponding  sides  and angles is provided        Note: Consider only those triangles whose all
                         below.                                              three sides are clearly visible
                         Question: Are triangles X and Y similar?
                         Information 1: Two pairs of corresponding sides            (a)                 (b)
                         of triangle X and triangle Y are proportional,
                         but  no information  is given  about  the third            (c)                 (d)
                         pair of corresponding sides.
                         Information 2: Two  pairs of corresponding       5.  An equilateral triangle is given. Inside it, two
                         angles of triangle X and triangle Y are equal,      straight lines are drawn in any direction. If the
                         but  no information  is given  about  the third     triangle is cut along these two lines, what is the
                         pair of corresponding angles.                       maximum  number  of right-angled  triangles

                         To answer the  given  question,  which of the       that can be formed?
                         given information is/are sufficient?                Note: You cannot form a triangle by joining
                                                                             two or more pieces.
                               (a)  Only 1

                               (b)  Only 2

                               (c)  Both 1 and 2 together
                                                                                    (a)  2              (b)  3
                               (d)  Question cannot be answered even
                                   if both information are used                     (c)  4              (d)  5

                                                                 Answers
                                                    1. (c)   2. (b)   3. (c)    4. (c)   5. (b)

                                                                                    A Tale of Three Intersecting Lines  35

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