Rotations Reflections and Translations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, or reflection.

Front

What is a translation?

Back

A translation is a type of transformation that slides a shape from one position to another without rotating or flipping it.

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is a reflection?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

How do you translate a point (x, y) 3 units to the right and 4 units down?

Back

To translate the point (x, y), add 3 to the x-coordinate and subtract 4 from the y-coordinate: (x+3, y-4).

Front

What is the result of reflecting the point (6, -3) over the x-axis?

Back

The result is (6, 3).

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same: (x, y) becomes (-x, y).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped to create a mirror image.

Front

If a shape is rotated 90 degrees clockwise, how do the coordinates change?

Back

For a point (x, y), the new coordinates after a 90-degree clockwise rotation are (y, -x).

Front

What is the difference between a rigid transformation and a non-rigid transformation?

Back

A rigid transformation preserves the shape and size of a figure (like translation, rotation, reflection), while a non-rigid transformation may change the shape or size (like stretching or shrinking).