Dilation, Scale Factor

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape, using a scale factor.

Front

What is a scale factor?

Back

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

Front

If a point (x, y) is dilated by a scale factor of k, what is the new coordinate?

Back

The new coordinate is (kx, ky).

Front

What happens to the coordinates of a triangle when it is dilated by a scale factor of 2?

Back

Each coordinate of the triangle is multiplied by 2.

Front

How do you determine the scale factor from pre-image to image?

Back

Divide the length of a side in the image by the length of the corresponding side in the pre-image.

Front

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

Back

A scale factor less than 1 reduces the size of the figure.

Front

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

Back

A scale factor greater than 1 enlarges the size of the figure.

Front

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

Back

Each side of triangle A'B'C' is 3 times the length of the corresponding side of triangle ABC.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

How can you find the coordinates of a dilated point (2, 3) with a scale factor of 4?

Back

Multiply each coordinate by 4: (2*4, 3*4) = (8, 12).