Transformations

Front

What is a transformation in geometry?

Back

A transformation is a change in the position, size, or shape of a figure.

Front

What are the four main types of transformations?

Back

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

Front

What is a translation?

Back

A translation moves every point of a figure the same distance in the same direction.

Front

What is a reflection?

Back

A reflection flips a figure over a line, creating a mirror image.

Front

What is a rotation?

Back

A rotation turns a figure around a fixed point at a certain angle.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape.

Front

How do you determine the scale factor in dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

What happens to the coordinates of a point (x, y) when it is reflected over the x-axis?

Back

The coordinates become (x, -y).

Front

What happens to the coordinates of a point (x, y) when it is rotated 90 degrees counterclockwise about the origin?

Back

The coordinates become (-y, x).

Front

What is the effect of translating a point (x, y) by (x + 3, y - 2)?

Back

The new coordinates will be (x + 3, y - 2).