Geometric Transformations Review (Unit 1)

Front

What is a geometric transformation?

Back

A geometric transformation is an operation that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

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, by a certain angle.

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a shape from one position to another without changing its size, shape, or orientation.

Front

What is the rule for translating a point (x, y) up by 4 units?

Back

The rule is (x, y) -> (x, y + 4).

Front

What does the notation (x, y) -> (x + 3, y) represent?

Back

It represents a translation of a point 3 units to the right.

Front

What is the effect of a 90° clockwise rotation on a point (x, y)?

Back

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

Front

What is the effect of a reflection over the x-axis on a point (x, y)?

Back

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

Front

What is the effect of a reflection over the y-axis on a point (x, y)?

Back

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

Front

What is the rule for reflecting a point across the line y = 1?

Back

If the point is (x, y), the new coordinates will be (x, 2 - y).