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?

Back

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

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to (-x, y).

Front

What is the rule for translating a point 2 units left and 3 units up?

Back

The rule is (x, y) → (x - 2, y + 3).

Front

What happens to the coordinates of a point during a dilation with a scale factor of k?

Back

The new coordinates are (kx, ky), where (x, y) are the original coordinates.

Front

What is the effect of a dilation with a scale factor less than 1?

Back

A dilation with a scale factor less than 1 reduces the size of the figure.