Dilations and other Transformations

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 does a scale factor greater than 1 indicate?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate?

Back

It indicates a reduction of the figure.

Front

What is the algebraic rule for a 90° counterclockwise rotation?

Back

(x, y) → (-y, x)

Front

How do you represent a dilation algebraically?

Back

(x, y) → (kx, ky) where k is the scale factor.

Front

What is the relationship between the original triangle and the dilated triangle if the scale factor is 3/4?

Back

The dilated triangle is a reduction of the original triangle.

Front

What is the formula for calculating the scale factor?

Back

Front

What happens to the coordinates of a point (x, y) during a dilation with a scale factor of 2?

Back

The new coordinates will be (2x, 2y).

Front

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

Back

It reflects the figure across the origin and scales it.

Front

What is the algebraic representation for a dilation with a scale factor of 3?

Back

(x, y) → (3x, 3y)