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.

Tags

CCSS.8.G.A.3

Front

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

Back

It indicates an enlargement.

Tags

CCSS.8.G.A.3

Front

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

Back

It indicates a reduction.

Tags

CCSS.8.G.A.3

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).

Tags

CCSS.8.G.A.3

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.

Tags

CCSS.8.G.A.3

Front

How does a dilation affect the angles of a figure?

Back

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

Tags

CCSS.8.G.A.3

Front

What happens to the distances between points in a dilation?

Back

The distances between points are multiplied by the scale factor.

Tags

CCSS.8.G.A.3

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).

Tags

CCSS.8.G.A.3

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.

Tags

CCSS.8.G.A.3

Front

Back

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

Tags

CCSS.8.G.A.3