Answer:
- Translation
- Reflection
- Rotation
- Dilation
- Shear
- Glide reflection
Explanation:
Translation: This transformation involves moving a figure from one place to another without changing its size, shape, or orientation. Translation can be performed by adding or subtracting a constant value to the x and/or y coordinates of each point in the figure.
Reflection: This transformation involves flipping a figure across a line of reflection, which can be a horizontal, vertical, or diagonal line. Reflections reverse the orientation of the figure but preserve its size and shape.
Rotation: This transformation involves turning a figure around a fixed point called the center of rotation. The amount of rotation is measured in degrees, and can be clockwise or counterclockwise.
Dilation: This transformation involves stretching or shrinking a figure by a certain scale factor. Dilations can be performed with respect to a point called the center of dilation.
Shear: This transformation involves changing the shape of a figure by distorting it in a particular direction. Shear can be performed by stretching one side of a figure while compressing the other side.
Glide reflection: This transformation involves combining a reflection and a translation. A glide reflection involves reflecting a figure across a line of reflection and then translating it along that line.