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 to create a new shape. Common transformations include translations, rotations, reflections, and dilations.

Front

Define reflection in geometry.

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image of the original shape.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape 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

A 90 degrees clockwise rotation transforms the point (x, y) to (y, -x).

Front

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

Back

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

Front

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

Back

A reflection over the x-axis transforms the point (x, y) to (x, -y).

Front

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

Back

A reflection over the y-axis transforms the point (x, y) to (-x, y).

Front

What is a composition of transformations?

Back

A composition of transformations is the combination of two or more transformations applied to a shape in sequence.

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 a rotation of 90 degrees.

Front

How do you find the image of a point after a transformation?

Back

To find the image of a point after a transformation, apply the transformation rules to the coordinates of the point.