Transformations in Geometry Flashcard

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to create a new shape.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define rotation in geometry.

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

What does a 90° clockwise rotation do to a point (x, y)?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

What is the rule for a 270° counterclockwise rotation?

Back

The rule for a 270° counterclockwise rotation is (x, y) → (-y, x).

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

How do you find the scale factor in dilation?

Back

The scale factor is found by dividing the length of a side of the image by the length of the corresponding side of the original figure.

Front

What is the scale factor if a point (8, 12) is dilated to (2, 3)?

Back

The scale factor is 1/4.

Front

What is a translation in geometry?

Back

Translation is a transformation that slides a figure from one position to another without turning it.

Front

What does reflection mean in geometry?

Back

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