A composite transformation is the transformation of a figure by two or more transformations
The correct descriptions and rules are:
(a) The transformation description; <u>The </u><u>sequence </u><u>of transformation that maps figure P onto figure Q is a 90 degrees clockwise </u><u>rotation</u><u>, followed by a </u><u>translation </u><u>of 6 units downwards (-6 units) </u><u>maps </u><u>figure P onto Q</u>
(b) The Transformation Mapping Rules are; and
The given parameters;
The coordinates of the vertices of the preimage, figure P, are;
(-1, 2), (-1, 4), (-4, 2), and (-4, 4)
The coordinates of the vertices of the image, figure Q, are;
(2, -2), (4, -2), (4, -5), and (2, -5)
(a) The description of the sequence of transformations that maps figure P onto figure Q are;
A 90 degrees clockwise rotation about the origin, to transform (x, y) to (y, -x), which gives;
90° clockwise rotation =
(-1, 2) (2, 1)
(-1, 4) (4, 1)
(-4, 2) (2, 4)
(-4, 4) (4, 4)
The x-coordinates values of the image due to the rotation are equal to the x-coordinate values of the coordinates of the vertices of figure Q, while the difference in the y-values are -5 - 1 = -6
Therefore, the image obtain trough the rotation of figure P is translated vertically by -6 units (downwards), , to completely map figure P onto figure Q
Therefore, the description of the sequence of transformation that maps figure P onto figure Q is a <u>90 degrees </u><u>clockwise rotation</u><u>, followed by a </u><u>translation </u><u>of 6 units downwards (-6 units) maps figure P onto Q</u>
(b) The Transformation Mapping Rule for the sequence described in part (a) are;
= 90 degrees clockwise rotation about the origin of points on figure P, followed by
= A translation of 6 units downwards
The composite transformation is
Learn more about composite transformations here:
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