Dilations and Scale Factor

Front

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

Back

The figure undergoes a reduction.

Front

What characteristic does a dilation preserve?

Back

Similarity.

Front

If the origin is the center of dilation and the scale factor is 2, what happens to the figure?

Back

The figure is enlarged to twice its original size.

Front

If AB = 3 and the scale factor is 4, what is the length of A'B'?

Back

12.

Front

What are the new coordinates of a triangle with vertices A(2,0), B(3,-1), C(-2,-5) when dilated by a scale factor of 3?

Back

A'(6,0), B'(9,-3), C'(-6,-15).

Front

Define dilation in geometry.

Back

A transformation that produces an image that is the same shape as the original, but is a different size.

Front

What is the scale factor in a dilation?

Back

The ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

If a figure is dilated by a scale factor of 1, what happens to the figure?

Back

The figure remains unchanged.

Front

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

Back

The figure undergoes an enlargement.

Front

How do you calculate the new coordinates of a point (x,y) after dilation with a scale factor k?

Back

The new coordinates are (kx, ky).