Dilations and Symmetery

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. It is represented as 'k'. If k > 1, the figure is enlarged; if 0 < k < 1, the figure is reduced.

Front

What is the algebraic representation for a dilation?

Back

The algebraic representation for a dilation is (x, y) → (kx, ky), where k is the scale factor.

Front

What does it mean if a dilation has a scale factor greater than 1?

Back

If a dilation has a scale factor greater than 1, it means the figure is being enlarged.

Front

What does it mean if a dilation has a scale factor less than 1?

Back

If a dilation has a scale factor less than 1, it means the figure is being reduced.

Front

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

Back

You determine if a dilation is an enlargement or reduction by looking at the scale factor: k > 1 indicates enlargement, while 0 < k < 1 indicates reduction.

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

Front

How many lines of symmetry does a rectangle have?

Back

A rectangle has 2 lines of symmetry.

Front

How many lines of symmetry does a square have?

Back

A square has 4 lines of symmetry.

Front

How many lines of symmetry does a circle have?

Back

A circle has an infinite number of lines of symmetry.

Front

What is the relationship between dilations and similarity?

Back

Dilations create similar figures; the shapes are proportional but not necessarily the same size.