Dilations with Distractions

Front

What is a dilation in geometry?

Back

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

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.

Front

If a triangle is dilated using the rule (x, y) → (kx, ky), what does 'k' represent?

Back

'k' represents the scale factor of the dilation.

Front

What are the coordinates of a point C(6, -3) after a dilation with a scale factor of 2?

Back

C' will be (12, -6) after the dilation.

Front

What is the difference between enlargement and reduction in dilations?

Back

Enlargement increases the size of a figure (scale factor > 1), while reduction decreases the size (scale factor < 1).

Front

How do you determine the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

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

Back

A scale factor of 1 means the figure remains the same size; it is unchanged.

Front

Can a dilation change the shape of a figure?

Back

No, a dilation does not change the shape; it only changes the size.

Front

What is the transformation rule for a dilation with a scale factor of 3.5?

Back

The transformation rule is (x, y) → (3.5x, 3.5y).

Front

What is an example of a real-world application of dilations?

Back

Creating scaled models, such as architectural designs or maps.