G.9 Final Review

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape. It involves a scale factor that determines how much the figure is enlarged or reduced.

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

It indicates a reduction of the figure.

Front

If point A(3, 6) is dilated by a scale factor of 2, what are the new coordinates of A'?

Back

A' = (6, 12)

Front

Which of the following transformations is a dilation? (x, y) → (x, 3y), (x, y) → (3x, 3y), (x, y) → (x, y - 3), (x, y) → (.5x, .4y)

Back

The dilation is (x, y) → (3x, 3y).

Front

What is the similarity statement for triangle ABC if it is similar to triangle SPQ?

Back

ABC ~ ΔSPQ

Front

Back

Front

What is the formula for finding the coordinates of a point after dilation?

Back

If point (x, y) is dilated by a scale factor k, the new coordinates are (kx, ky).

Front

What is the difference between a dilation and a translation?

Back

A dilation changes the size of a figure, while a translation moves a figure without changing its size or shape.

Front

What is the effect of a negative scale factor in a dilation?

Back

A negative scale factor reflects the figure across the origin and changes its size.