Similarity and dilation flashcard

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a center point and a scale factor.

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much larger or smaller the image will be compared to the original figure.

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure becomes larger than the original.

Front

If the scale factor is less than 1, what happens to the figure?

Back

The figure becomes smaller than the original.

Front

What is the coordinate of the image of point B (-10,-6) under a dilation with center at the origin and scale factor k = 1/2?

Back

(-5,-3)

Front

What is the coordinate of the image of point B (4,9) under a dilation with center at the origin and scale factor of 2?

Back

(8,18)

Front

If the scale factor is equal to 1, the copy is ________ the original.

Back

the same as

Front

What is the scale factor in the transformation (x, y) → (3/4x, 3/4y)?

Back

3/4

Front

How do you find the image of a point under dilation?

Back

Multiply the coordinates of the point by the scale factor.

Front

What is the image of point (2,3) under a dilation with a scale factor of 3?

Back

(6,9)