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 sequence.

Front

What are the basic types of transformations in geometry?

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 specified direction.

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a figure 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 figure over a line, creating a mirror image.

Front

What is dilation in geometry?

Back

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

Front

How do you perform a translation of a point (x, y) by (a, b)?

Back

To translate the point (x, y) by (a, b), add a to x and b to y, resulting in the new point (x+a, y+b).

Front

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

Back

The new coordinates after a 90-degree counter-clockwise rotation are (-y, x).

Front

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

Back

A reflection over the x-axis changes the coordinates to (x, -y).

Front

What is the result of a dilation with a scale factor of 2 on a point (x, y)?

Back

The new coordinates after dilation with a scale factor of 2 are (2x, 2y).