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Page 42 - CT&AI_CLasa_7_Part_1
P. 42

    pART–II

                                                                         Geometric twins

                                     1

                                               computational thinking quest

                    Tick ( ) the correct option.

                      1.  Two triangles are  congruent  by  the  SAS      4.  In a  construction  project,  two  triangles  ABC
                         condition. If you rotate one triangle 90 degrees    and DEF are placed adjacent to each other.
                         and flip it horizontally, what happens to their     The following information is given.
                         congruence?            (Algorithmic Thinking)       AB =  DE = 6 cm, BC = EF = 8 cm and ∠ABC
                                                                             = ∠DEF = 90° which of the following methods
                               (a)  They are no longer congruent.
                                                                             can be used to prove that these two triangles
                                                                             are congruent?             (Critical Thinking)
                               (b)  They  remain  congruent  because
                                   shape and size are preserved.                    (a)  By comparing angles and side
                                                                                       lengths.
                               (c)  They are only congruent if they are
                                   equilateral.                                     (b)  By applying the SSS condition

                               (d)  They  become  "Similar"  but  not               (c)  By using the RHS condition for right-
                                   "Congruent."                                        angled triangles
                      2.  A rectangular piece of paper is folded exactly in
                         half twice (once vertically, once horizontally).           (d)  By using the SAS condition
                         When unfolded, the crease lines intersect at     5.  In the given figure not down to scale, All line
                         the centre. How many pairs of congruent non-        segments  marked  with  a  single  line  ‘I’ are
                         overlapping rectangles are formed?                  equal to each other and those marked with
                                                (Algorithmic Thinking)       double ‘II’ are equal to each other etc.
                                                                             Find the measure of ∠AOB + ∠BOC + ∠COD +
                               (a)  2               (b)  4                   ∠DOE.                    (Abstract Thinking)
                                                                                           A         E
                               (c)  5               (d)  1
                                                                                                O  45°
                      3.  In a "Geometric Twin" scenario, if triangle ABC
                                                                                            40°
                         ≅ triangle DEF, and the perimeter of triangle                       45°
                         ABC is 30 cm, what is the length of side EF if                    B         D
                         DE = 10 cm and DF = 8 cm?                                             40°  45°
                                                (Algorithmic Thinking)                          C

                               (a)  10 cm           (b)  12 cm                      (a)  250°           (b)  275°

                               (c)  15 cm           (d)  8 cm                       (c)  210°           (d)  230°

                     40        Computational Thinking-7 (Mathematics)

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