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.

Front

What are the four main types of transformations?

Back

Translation, Reflection, Rotation, and Dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in a given direction.

Front

What is reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

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

Front

What is the rule for a translation that moves a point 3 units right and 2 units up?

Back

(x + 3, y + 2) is the rule for this translation.

Front

How do you identify a reflection across the x-axis?

Back

A reflection across the x-axis changes the y-coordinate of each point to its opposite, (x, y) becomes (x, -y).

Front

What does a 90° clockwise rotation do to the coordinates of a point (x, y)?

Back

A 90° clockwise rotation transforms (x, y) to (y, -x).

Front

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

Back

A reflection across the y-axis changes the x-coordinate to its opposite, (x, y) becomes (-x, y).

Front

Define dilation in geometry.

Back

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