Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a shape from one position to another without rotating or flipping it.

Front

What is a reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is the rule for translating a point (x, y) by 2 units to the right and 1 unit down?

Back

The rule is (x + 2, y - 1).

Front

How do you reflect a point (x, y) over the x-axis?

Back

To reflect over the x-axis, the new coordinates will be (x, -y).

Front

What happens to the coordinates of a point (x, y) when it is rotated 180 degrees about the origin?

Back

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

Front

Describe the effect of a 90-degree counterclockwise rotation on the point (x, y).

Back

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

Front

What is the result of reflecting a point (x, y) over the y-axis?

Back

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

Front

If point A(3, 4) is reflected over the x-axis, what are the coordinates of A'?

Back

A' will be (3, -4).