Pass Check: Transformations
Describe fully: reflection needs a line, rotation needs centre/angle/direction, translation needs a vector.
Translation
A slide described by a column vector (x, y), no change in size or orientation.
Rotation
A turn about a fixed centre point, described by angle, direction, and centre.
Reflection
A flip over a mirror line; the image is the same distance from the line as the object.
Enlargement
A resize from a centre point by a scale factor; sides are multiplied by the scale factor, angles stay the same.
Quick check
Mixed quiz
1. Point A(4, 3) is translated by vector (5, -4). Find the coordinates of the image.
2. Describe the transformation mapping (1,1) to (1,1) after any translation by vector (0,0).
3. Point B(4, 3) is reflected in the line y = x. Find the coordinates of the image.
4. Point A(2, 3) is translated by vector (3, -2). Find the coordinates of the image.
5. Point B(4, 4) is reflected in the line y = x. Find the coordinates of the image.
6. Rotate point (2,3) by 90° clockwise about the origin. Give the new coordinates.
7. Point A(2, 4) is translated by vector (6, -2). Find the coordinates of the image.
8. Point A(2, 3) is translated by vector (5, -2). Find the coordinates of the image.