Composite Transformations

Front

What is a composite transformation?

Back

A composite transformation is a combination of two or more transformations applied to a figure in a specific order.

Front

What are the basic types of transformations?

Back

The basic 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 figure the same distance in a given direction.

Front

What does it mean to rotate a figure?

Back

To rotate a figure means to turn it around a fixed point, called the center of rotation, by a certain angle.

Front

What is reflection in geometry?

Back

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

Front

How do you perform a 180° rotation?

Back

To perform a 180° rotation, each point of the figure is turned around the center of rotation to the opposite side.

Front

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

Back

The effect of a 90° clockwise rotation on a point (x, y) is to transform it to (y, -x).

Front

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

Back

The result of reflecting a point (x, y) over the x-axis is (x, -y).

Front

What happens when you reflect a point over the line y=x?

Back

When you reflect a point (x, y) over the line y=x, it becomes (y, x).

Front

What is the sequence of transformations for the point (2, 6) translated up 3 and left 1?

Back

The sequence results in the point (1, 9).