Test 5--Dilations and Rigid vs Non-Rigid Transformations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

It indicates a reduction of the figure.

Front

Is a dilation a rigid transformation?

Back

No, a dilation is a non-rigid transformation.

Front

What is the result of a dilation with a scale factor of 1?

Back

The figure remains unchanged; it is congruent to the original.

Front

If a point (x, y) is dilated by a scale factor k, what is the new point?

Back

The new point is (kx, ky).

Front

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

Back

Rigid transformations preserve shape and size, while non-rigid transformations change size but preserve shape.

Front

What is an example of a rigid transformation?

Back

Examples include translations, rotations, and reflections.

Front

What is an example of a non-rigid transformation?

Back

An example is a dilation.

Front

If point B(2, 4) is dilated by a scale factor of 1/2, what are the coordinates of the new point?

Back

The new coordinates are (1, 2).