Dilations-Enlargement or Reduction and Scale Factor

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a shape but keeps its proportions the same.

Front

What does it mean if a dilation is an enlargement?

Back

An enlargement occurs when the scale factor is greater than 1, making the shape larger.

Front

What does it mean if a dilation is a reduction?

Back

A reduction occurs when the scale factor is less than 1, making the shape smaller.

Front

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

Back

By comparing the scale factor: if it's greater than 1, it's an enlargement; if it's less than 1, it's a reduction.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape during a dilation.

Front

If the scale factor is 2, what type of dilation is it?

Back

It is an enlargement.

Front

If the scale factor is 0.5, what type of dilation is it?

Back

It is a reduction.

Front

What happens to the area of a shape during an enlargement?

Back

The area increases by the square of the scale factor.

Front

What happens to the area of a shape during a reduction?

Back

The area decreases by the square of the scale factor.

Front

If a triangle has a scale factor of 3, how does its perimeter change?

Back

The perimeter is multiplied by 3.