Dilations and Similar Figures Review

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, using a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If the scale factor is greater than 1, what type of dilation is it?

Back

It is an enlargement.

Front

If the scale factor is less than 1, what type of dilation is it?

Back

It is a reduction.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but may differ in size, with corresponding angles being equal and corresponding sides being proportional.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are congruent.

Front

What is the relationship between corresponding sides in similar figures?

Back

Corresponding sides in similar figures are proportional.

Front

Can a dilation produce a congruent figure?

Back

No, a dilation does not produce a congruent figure; it produces a similar figure.

Front

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

Back

A dilation with a scale factor of 1 results in a figure that is the same size as the original figure.

Front

How can you find a missing side length in similar figures?

Back

You can set up a proportion using the lengths of corresponding sides to find the missing side length.