Transformations (dilations, reflections, translations)

Front

What is a transformation in geometry?

Back

A transformation is a change in the position, size, or shape of a figure.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the rule for reflecting a point (x, y) over the x-axis?

Back

(x, y) --> (x, -y)

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate changes sign: (x, y) --> (-x, y)

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure from one position to another without changing its shape or size.

Front

What is the rule for translating a point (x, y) by (a, b)?

Back

(x, y) --> (x + a, y + b)

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape.

Front

If a figure is dilated by a scale factor of k, what happens to its area?

Back

The area is multiplied by k².

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced.

Front

If a figure is dilated by a scale factor of 2, what happens to its dimensions?

Back

Each dimension is multiplied by 2.