Identify the Type of Transformation

Front

What is a transformation in geometry?

Back

A transformation in geometry refers to the movement of a shape in a plane. This can include changes in position, size, and orientation.

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 a shape from one location to another without changing its size, shape, or orientation.

Front

What is a reflection?

Back

A 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, known as the center of rotation, by a certain angle.

Front

What is dilation?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same, either enlarging or reducing it.

Front

How does a translation affect the coordinates of a point?

Back

In a translation, the coordinates of a point (x, y) change to (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What happens to a shape during a reflection over the x-axis?

Back

When a shape is reflected over the x-axis, the y-coordinates of its points change sign, resulting in a mirror image across the x-axis.

Front

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

Back

A 90-degree rotation counterclockwise transforms the point (x, y) to (-y, x).

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which a shape is enlarged or reduced during a dilation transformation.