DILATIONS

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 is a scale factor?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

What does it mean if the scale factor is greater than 1?

Back

If the scale factor is greater than 1, the figure is enlarged.

Front

What does it mean if the scale factor is less than 1?

Back

If the scale factor is less than 1, the figure is reduced.

Front

If triangle ABC is dilated by a scale factor of 2, what happens to its dimensions?

Back

The dimensions of triangle ABC will double in size.

Front

How do you determine if a dilation is an enlargement or a 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 representation of a dilation with a scale factor of 1/2?

Back

The algebraic representation is (x, y) --> (0.5x, 0.5y).

Front

If the coordinates of point A are (2, 3) and the scale factor is 2, what are the coordinates of A'?

Back

The coordinates of A' will be (4, 6).

Front

What is the effect of a dilation on angles?

Back

Dilation does not change the measures of angles; they remain the same.

Front

If trapezoid ABCD is dilated to trapezoid A'B'C'D' with a scale factor of 3, what is the relationship between their areas?

Back

The area of trapezoid A'B'C'D' will be 9 times the area of trapezoid ABCD.