Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the four main types of transformations?

Back

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

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in a given direction.

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 effect of a 90° rotation counterclockwise on the coordinates (x, y)?

Back

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

Front

How do you perform a translation of a point (x, y) 5 units left and 1 unit up?

Back

The new coordinates will be (x-5, y+1).

Front

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

Back

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

Front

If a point (x, y) is rotated 180° about the origin, what are the new coordinates?

Back

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

Front

What is the result of applying the rule (x, y) → (y, -x) to the point (-5, 6)?

Back

The result is (6, 5).