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EVALUATION

Scrambled List

ARRANGE THE FOLLOWING WORDS IN THEIR PROPER ORDER.

  • A rotation is
  • a transformation
  • that turns
  • a figure
  • about
  • a fixed point
  • called
  • the center of
  • rotation.

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Activity

In your respective groups, attempt the following questions.

  1. Find the co-ordinates of the vertices of the image of a parallelogram whose vertices are A(3, 5), B(7, 5), C(5, 0) and D(l, 0) when rotated about the origin through:
    (a) -90°.

    (b) 180
  2. A triangle whose vertices are A'(-1.5,-2.5), B'(-1.5,-1.5) and C(-3.5, -1.5) is an image of the triangle whose vertices are A(1.5,2.5), B(1.5, 1.5) and C(3.5, 1.5) under a rotation. Find:

    • a) The centre and the angle of rotation.
    • (b) The image of points (0, 3), (2,2) and (0,0) under the same rotation.
  1. Write down the images of the following points under rotation through 180° about the stated centres of rotation:
    • (3, -4) about (2,1) (ii) (4,5) about (3, 8).
    • (-5, 6) about (4,4) (iv) (4,-7) about (-3,2.