TRANSFORMATIONS

Front

What is a transformation in geometry?

Back

A transformation 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

Translation, Reflection, Rotation, and Dilation.

Front

What does it mean to translate a shape?

Back

To translate a shape means to slide it in a straight line from one position to another without changing its size, shape, or orientation.

Front

If a point (x, y) is translated to (x + a, y + b), what do 'a' and 'b' represent?

Back

'a' represents the horizontal movement, and 'b' represents the vertical movement.

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped during a reflection transformation.

Front

What is a rotation in geometry?

Back

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

Front

What does it mean to rotate a shape 90 degrees clockwise?

Back

To rotate a shape 90 degrees clockwise means to turn it to the right around a point by a quarter turn.

Front

What is the difference between a translation and a reflection?

Back

A translation slides a shape without changing its orientation, while a reflection flips it over a line, changing its orientation.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.