Types of Transformations Flashcard Review

Front

What is a transformation in geometry?

Back

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

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What does it mean to reflect a shape?

Back

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

Front

What is dilation in geometry?

Back

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

Front

How do you perform a 180° rotation about the origin?

Back

To perform a 180° rotation about the origin, change the sign of both coordinates: (x, y) becomes (-x, -y).

Front

What is the rule for a 90° counterclockwise rotation?

Back

The rule for a 90° counterclockwise rotation is (x, y) → (-y, x).

Front

If a shape is translated 5 units right and 3 units up, what are the new coordinates of point (2, 3)?

Back

The new coordinates would be (2+5, 3+3) = (7, 6).

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a shape is enlarged or reduced during dilation.