Transformations: Translations, Reflections and Rotations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Front

What are the three main types of transformations?

Back

The three main types of transformations are translations, reflections, and rotations.

Front

Define translation in geometry.

Back

A translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is a reflection in geometry?

Back

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

Front

Define 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 it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, but may be in different positions or orientations.

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

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

Back

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

Front

What is the result of rotating a point 90 degrees clockwise around the origin?

Back

The coordinates (x, y) become (y, -x) after a 90-degree clockwise rotation.

Front

What is the result of rotating a point 270 degrees clockwise around the origin?

Back

The coordinates (x, y) become (-y, x) after a 270-degree clockwise rotation.