Geo 9.4 Compositions of 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, called the image.

Front

Define reflection in geometry.

Back

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

Front

What is a rotation in geometry?

Back

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

Front

What does a 90 degrees clockwise rotation do to a point (x, y)?

Back

It transforms the point to (y, -x).

Front

What does a 90 degrees counterclockwise rotation do to a point (x, y)?

Back

It transforms the point to (-y, x).

Front

What is the effect of a reflection over the x-axis on a point (x, y)?

Back

It transforms the point to (x, -y).

Front

What is the effect of a reflection over the y-axis on a point (x, y)?

Back

It transforms the point to (-x, y).

Front

What is a composition of transformations?

Back

A composition of transformations is when two or more transformations are combined to produce a single transformation.

Front

If triangle ABC is reflected over the x-axis and then rotated 90 degrees, what is the order of transformations?

Back

The order is reflection over the x-axis followed by rotation of 90 degrees.

Front

What is the result of rotating a shape 180 degrees?

Back

The shape is turned upside down, resulting in a figure that is congruent to the original but oriented differently.