Transformations (Translations, Reflections, and Rotations)

Front

What is a transformation in geometry?

Back

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

Front

What are the three main types of transformations?

Back

Translations, reflections, and rotations.

Front

Define translation in geometry.

Back

A translation 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 at a certain angle.

Front

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

Back

In a reflection across the x-axis, the y-coordinates of the points change sign.

Front

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

Back

In a reflection across the y-axis, the x-coordinates of the points change sign.

Front

What is the algebraic rule for translating a point (x, y) 2 units to the right and 5 units down?

Back

(x, y) --> (x + 2, y - 5)