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, Dilation.

Front

What does it mean to translate a shape?

Back

To translate a shape means to slide it in any direction without changing its size, shape, or orientation.

Front

How do you perform a translation of a shape?

Back

You add or subtract values from the x and y coordinates of each point of the shape.

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 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 is dilation in geometry?

Back

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

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the size of the new shape to the size of the original shape.

Front

If a shape is translated 3 units right and 2 units up, what are the new coordinates of the point (1, 1)?

Back

(4, 3) - You add 3 to the x-coordinate and 2 to the y-coordinate.

Front

What is the effect of a negative scale factor in dilation?

Back

A negative scale factor reflects the shape over the origin and changes its size.