Dilations 8.3A & C

Front

What is a dilation in geometry?

Back

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

Front

What does a scale factor of 2 mean in a dilation?

Back

It means that the image will be twice as large as the original figure.

Front

If the point (3,6) is dilated with a scale factor of 2, what is the new point?

Back

(6, 12)

Front

What is an enlargement in terms of dilation?

Back

An enlargement is a dilation that makes the original image larger.

Front

What is a reduction in terms of dilation?

Back

A reduction is a dilation that makes the original image smaller.

Front

How do you determine if a dilation is an enlargement or reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Front

What is the effect of a scale factor of 1 on a figure?

Back

The figure remains unchanged.

Front

What is the algebraic representation of a dilation with a scale factor of 2?

Back

(2x, 2y)

Front

If a figure is dilated by a scale factor of 1/2, what happens to its size?

Back

The figure shrinks to half its original size.

Front

What is the relationship between the original figure and its dilated image?

Back

They are similar figures, meaning they have the same shape but different sizes.