Dilations

Front

What is a dilation?

Back

A dilation is a transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What does a scale factor (SF) greater than 1 indicate in a dilation?

Back

It indicates an enlargement.

Front

What does a scale factor (SF) less than 1 indicate in a dilation?

Back

It indicates a reduction.

Front

If a point A(x,y) is dilated by a scale factor n, what is the rule for dilation?

Back

The rule is (x,y) → (nx, ny).

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

How does a dilation affect the angles of a figure?

Back

A dilation preserves the angles of the figure; they remain congruent.

Front

What happens to the distances between points in a dilation?

Back

The distances between points are multiplied by the scale factor.

Front

If point A(-3,-4) is dilated by a scale factor of 2, what are the coordinates of the new point A'?

Back

A' = (-6, -8).

Front

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

Back

A scale factor of 1 means the figure remains unchanged.

Front

Back

The rule is (x,y) → (0.5x, 0.5y), indicating a reduction.