Slide, Flip, Turn: Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a change in the position, size, or shape of a figure in a geometric space.

Front

What does it mean to slide a shape?

Back

To slide a shape means to move it from one position to another without changing its size, shape, or orientation. This is also called a translation.

Front

What is a flip in geometry?

Back

A flip is a transformation that creates a mirror image of a shape over a line, known as the line of reflection.

Front

What is a turn in geometry?

Back

A turn is a transformation that rotates a shape around a fixed point, known as the center of rotation.

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

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape is turned during a rotation.

Front

Can a shape be transformed in multiple ways at once?

Back

Yes, a shape can undergo multiple transformations, such as sliding and then flipping.

Front

What is the difference between a slide and a flip?

Back

A slide moves a shape without changing its orientation, while a flip creates a mirror image of the shape.

Front

What happens to the size of a shape during a transformation?

Back

The size of a shape remains the same during a slide (translation), flip (reflection), or turn (rotation).

Front

What is an example of a real-life application of geometric transformations?

Back

An example is using reflections in mirrors, where the image is flipped, or rotating objects like a spinning top.