Dilations Flashcardizz

Front

What is a dilation in geometry?

Back

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

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. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

If a point C (x, y) is dilated with a scale factor k, what are the new coordinates C'?

Back

The new coordinates C' are given by (kx, ky).

Front

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

Back

The coordinates of the image B' are (-5, -3).

Front

How do you find the coordinates of a point after dilation with a scale factor of 2.5?

Back

Multiply each coordinate of the point by 2.5.

Front

What is the result of dilating point C (6, 9) with a scale factor of 3?

Back

The coordinates of the image C' are (18, 27).

Front

What is the rule for dilating a point (x, y) by a scale factor of 2?

Back

The rule is (x, y) → (2x, 2y).

Front

If triangle ABC has vertices A (-2, 2), B (2, 4), and C (3, -1), what are the coordinates of A' after a dilation by a scale factor of 2.5?

Back

The coordinates of A' are (-5, 5).

Front

What is the scale factor if the image of a point is twice as far from the origin as the original point?

Back

The scale factor is 2.

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 1?

Back

The coordinates remain unchanged; the point does not move.