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, using a center of dilation and a scale factor.

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

Front

If the original perimeter of a rectangle is 30 cm and it is enlarged by a scale factor of 4, what is the new perimeter?

Back

120 cm.

Front

What is the scale factor if a figure is reduced to half its size?

Back

The scale factor is 0.5.

Front

When dilating a figure, what remains unchanged?

Back

The corresponding angles of the original figure and the dilated figure remain equal.

Front

If a polygon is dilated by a scale factor of 2, what can be said about the original and the image?

Back

The original and the image will not be congruent; the image will be larger.

Front

What is the relationship between the sides of two similar polygons?

Back

The corresponding sides of similar polygons are proportional.

Front

If a triangle with vertices A(1,1), B(2,2), and C(3,1) is dilated by a scale factor of 3 from the origin, what are the new coordinates?

Back

A'(3,3), B'(6,6), C'(9,3).

Front

What is the effect of dilation on the area of a figure?

Back

The area of the figure is multiplied by the square of the scale factor.