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

What is a translation?

Back

A translation is a transformation that moves a shape from one location to another without changing its size, shape, or orientation.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

How does a 90-degree counterclockwise rotation affect a point in Quadrant IV?

Back

A 90-degree counterclockwise rotation moves a point from Quadrant IV to Quadrant I.

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

What is the effect of a reflection over the x-axis on the coordinates of a point?

Back

A reflection over the x-axis changes the sign of the y-coordinate of the point.

Front

What is the effect of a translation of 8 units left and 8 units down on the coordinates of a point (x, y)?

Back

The new coordinates will be (x-8, y-8).

Front

What is the result of a 180-degree rotation around the origin for a point (x, y)?

Back

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