Compositions of Transformations

Front

What is a composition of transformations?

Back

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

Front

Define translation in geometry.

Back

A transformation that moves every point of a figure the same distance in a given direction.

Front

What is a reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

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

Front

What does it mean to dilate a figure?

Back

To resize a figure by a scale factor, either enlarging or reducing its size while maintaining its shape.

Front

How do you perform a reflection over the y-axis?

Back

Change the sign of the x-coordinate of each point in the figure.

Front

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

Back

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

Front

Describe the transformation sequence: reflect over the x-axis, then rotate 90 degrees.

Back

First, flip the figure over the x-axis, then turn it 90 degrees clockwise around the origin.

Front

What is the result of translating a point (x, y) by (a, b)?

Back

The new coordinates will be (x + a, y + b).

Front

How do you find the image of a point after a translation followed by a reflection?

Back

First, apply the translation to the point, then reflect the resulting point over the specified line.