dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same, using a center of dilation and a scale factor.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much the image grows or shrinks compared to the original figure.

Front

If a triangle is dilated with a scale factor less than 1, what happens to the triangle?

Back

The triangle is reduced in size.

Front

What happens to a triangle when it is dilated with a scale factor greater than 1?

Back

The triangle is enlarged.

Front

What is the scale factor if the dilation rule is (x,y) → (1.5x, 1.5y)?

Back

The scale factor is 1.5.

Front

Under what condition will a dilation result in a congruent image?

Back

A dilation will result in a congruent image if the scale factor is 1.

Front

What is the effect of a scale factor of 0 in a dilation?

Back

A scale factor of 0 will collapse the figure to a single point.

Front

If triangle ABC is dilated to triangle A'B'C' with a scale factor of 3/4, what is the relationship between the two triangles?

Back

Triangle A'B'C' is a reduction of triangle ABC.

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

If a figure is enlarged, what can be said about the scale factor?

Back

The scale factor is larger than 1.