Transformations Math

Front

What is a transformation in mathematics?

Back

A transformation is a function that maps a set of points to another set of points, altering their position, size, or orientation.

Front

What are the four main types of transformations?

Back

Translation, Reflection, Rotation, and Dilation.

Front

Define Translation in the context of transformations.

Back

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

Front

What is Reflection in geometry?

Back

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

Front

How does a Reflection across the x-axis affect the coordinates of a point (x, y)?

Back

The coordinates become (x, -y).

Front

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

Back

The coordinates become (-x, y).

Front

What is a Rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, known as the center of rotation.

Front

How do you perform a 90° counterclockwise Rotation on a point (x, y)?

Back

The new coordinates become (-y, x).

Front

What is the result of translating a point (x, y) 3 units to the left and 9 units down?

Back

The new coordinates are (x-3, y-9).

Front

What is the standard form of a number?

Back

Standard form is a way of writing numbers using powers of ten, typically in the format a x 10^n.