Dilations Review

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 the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the image will be compared to the original figure.

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

How do you apply a scale factor of 3 to a point (x, y)?

Back

Multiply both coordinates by 3: (x, y) goes to (3x, 3y).

Front

What is the result of dilating a point (2, 4) by a scale factor of 1/2?

Back

The new coordinates will be (1, 2).

Front

What are the coordinates of point C' if triangle ABC is dilated by a scale factor of 1/2 and C is at (6, -3)?

Back

C' will be at (3, -1.5).

Front

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

Back

Compare the scale factor to 1: if >1 it's an enlargement, if <1 it's a reduction.

Front

What is the algebraic notation for a dilation with a scale factor of 1/3?

Back

(x, y) goes to (1/3x, 1/3y).

Front

If point B at (4, 3) is dilated by a scale factor of 3, what are the new coordinates?

Back

The new coordinates will be (12, 9).