Types of Transformations Flashcard Review

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. It can be an enlargement or a reduction.

Front

What is the rule for dilating a point (x, y) with a scale factor of 4?

Back

(x, y) → (4x, 4y)

Front

What does it mean for a transformation to be congruent?

Back

A transformation is congruent if it preserves the shape and size of the figure, meaning the original and the image are identical in size and shape.

Front

What is the rule for rotating a point (x, y) 270° counterclockwise?

Back

(x, y) → (y, -x)

Front

What is the rule for rotating a point (x, y) 90° counterclockwise?

Back

(x, y) → (-y, x)

Front

What type of transformation is a translation?

Back

A translation is a transformation that slides a figure from one position to another without turning it, flipping it, or resizing it.

Front

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

Back

(x, y) → (x, -y)

Front

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

Back

(x, y) → (-x, y)

Front

What happens to the coordinates of a point during a reflection over the line y = x?

Back

The coordinates switch places: (x, y) → (y, x)