4400 Higher November 2005 Paper 4 Q6

EdexcelHigherOld spec5 marksSimilar ShapesTransformations of Shapes

6

Grid with x from −2 to 7 and y from −4 to 5; triangle P with vertices (3, 4), (3, 3), (5, 3); triangle Q with vertices (5, −1), (6, −1), (5, −3)
(a) Describe fully the single transformation that maps \(\mathbf{P}\) onto \(\mathbf{Q}\). (3)
(b) Another shape, \(\mathbf{R}\), is enlarged by scale factor 2 to give shape \(\mathbf{S}\).

Write down whether each of the following statements is a true statement or a false statement.

(i) The lengths in \(\mathbf{R}\) and \(\mathbf{S}\) are the same.
(ii) The angles in \(\mathbf{R}\) and \(\mathbf{S}\) are the same.
(iii) Shapes \(\mathbf{R}\) and \(\mathbf{S}\) are similar.
(iv) Shapes \(\mathbf{R}\) and \(\mathbf{S}\) are congruent. (2)
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