Similarity and Transformations

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, and their corresponding side lengths are proportional.

Front

What is the definition of proportional sides in similar figures?

Back

Proportional sides in similar figures mean that the ratios of the lengths of corresponding sides are equal.

Front

What is a scale factor in the context of similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If the scale factor from figure A to figure B is 2, what does this imply?

Back

This implies that figure B is twice as large as figure A in all dimensions.

Front

What is the dilation rule for the transformation (x, y) → (2x, 2y)?

Back

This rule indicates that each point of the figure is moved away from the origin by a factor of 2, enlarging the figure.

Front

How can you determine if two figures are similar?

Back

To determine if two figures are similar, check if they have the same shape and if the ratios of their corresponding side lengths are equal.

Front

What is the scale factor from ΔDEF to ΔABC if the sides of ΔDEF are half the length of the corresponding sides of ΔABC?

Back

The scale factor is 1/2.

Front

What does it mean if two figures are not similar?

Back

It means that the figures do not have the same shape or their corresponding side lengths are not proportional.

Front

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

Back

A dilation with a scale factor less than 1 reduces the size of the figure.

Front

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

Back

A dilation with a scale factor greater than 1 enlarges the size of the figure.