Describing Transformations
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Exploring Transformations.
- The tranformation chosen by default in the applet below is Rotation and the center is (1, 1). Move the center from the blue point and observe the new positions of the image as it moves in a clockwise direction.
- Pause and alter the angle of rotation and continue to change the center of rotation.
- Choose Reflection on the slider. Note the mirror line and its equation.
- Choose Enlargement. The default scale factor is 2 and the center of enlargement is also (1, 1).
- Alter the scale factor.
- Now, choose Translation on the slider. Note the translation factor.
- use the horizontal or vertical sliders to change the factor.
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Reflecting Polygons on the Coordinate Axes.
- Draw Polygon B, the image of A, using the
-axis as the line of reflection. - Draw Polygon C, the image of B, using the
-axis as the line of reflection. - Draw Polygon D, the image of C, using the -axis as the line of reflection.
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Perform Combined Transformations on a Polygons on the Coordinate Axes.
- Draw the image of quadrilateral after a translation that takes B to D.
- Draw the image of quadrilateral after a rotation about point A by angle DAB, counterclockwise.
- Draw the image of quadrilateral after a reflection over segment BC.
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Describe fully the transformations in the applet above.
(1). Transform (i)
(2). Transform (II)
(3). Transform (III)
(4). Transform (iv)
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Andre performs a 90-degree counterclockwise rotation of Polygon P and gets Polygon P’, but he does not say what the center of the rotation is.
What is the center of rotation?
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Describe a sequence of transformations for which Triangle B is the image of Triangle A.
