4.5 Dilations/Simliar Figures

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a center point and a scale factor.

Front

What does the scale factor in a dilation represent?

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 less than 1, what type of transformation occurs?

Back

A reduction occurs, making the figure smaller.

Front

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

Back

An enlargement occurs, making the figure larger.

Front

What are corresponding angles in similar figures?

Back

Corresponding angles are angles in two figures that are in the same relative position and are congruent.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but different sizes, with corresponding angles being congruent and corresponding sides being proportional.

Front

How do you find the scale factor between two similar figures?

Back

The scale factor can be found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

What happens to the lengths of sides in a dilation with a scale factor of 2?

Back

All lengths of the sides of the figure are doubled.

Front

If triangle ABC is dilated with a scale factor of 3, what happens to the area of triangle ABC?

Back

The area of triangle ABC will be multiplied by 3^2 (or 9), making it 9 times larger.

Front

What is the relationship between the sides of similar figures?

Back

The lengths of corresponding sides of similar figures are proportional.