Transformations

Front

What is a transformation in geometry?

Back

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

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape the same.

Front

What is a scale factor in dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

If a figure is dilated by a scale factor of 2, how does the area change?

Back

The area of the figure increases by a factor of 2^2 = 4.

Front

What happens to the perimeter of a figure when it is dilated by a scale factor of k?

Back

The perimeter of the figure changes by the same scale factor k.

Front

What is the difference between rigid transformations and non-rigid transformations?

Back

Rigid transformations (translation, rotation, reflection) preserve shape and size, while non-rigid transformations (dilation) do not.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point at a certain angle.