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 happens to the coordinates of a point (x, y) when it is translated 3 units right and 4 units up?

Back

The new coordinates will be (x + 3, y + 4).

Front

What is reflection in geometry?

Back

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

Front

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

Back

To reflect a point across the x-axis, the new coordinates will be (x, -y).

Front

What are the coordinates of point H(3, 4) after reflecting across the x-axis?

Back

The coordinates will be H'(3, -4).

Front

Define rotation in geometry.

Back

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

Front

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

Back

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

Front

What is the effect of a 180-degree rotation on the point (x, y)?

Back

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