Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a similar figure by enlarging or reducing it based on a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure in a dilation.

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

Enlargement.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

Reduction.

Front

What does it mean for figures to be similar?

Back

Similar figures have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the scale factor if a triangle is reduced to half its size?

Back

1/2.

Front

What is the scale factor if a triangle is enlarged to twice its size?

Back

2.

Front

True or False: A dilation can change the shape of a figure.

Back

False; a dilation only changes the size, not the shape.

Front

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

Back

The figure remains unchanged.

Front

How do you determine the new coordinates of a point after dilation?

Back

Multiply the original coordinates by the scale factor.