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 the same direction.

Front

What is a rotation?

Back

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

Front

Explain reflection in geometry.

Back

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

Front

What is dilation?

Back

Dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

Front

How do you find the coordinates of a point after a 180° rotation about the origin?

Back

To find the new coordinates, change the signs of both the x and y coordinates of the original point.

Front

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

Back

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

Front

Describe the effect of a translation on the coordinates of a point (x, y).

Back

A translation adds a specific value to the x and y coordinates, resulting in a new point (x + a, y + b).

Front

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

Back

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