Translations and Reflection Review (Transformational Geometry)

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, Rotation, Reflection, and Dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that slides a figure from one position to another without turning it.

Front

What is the rule for translating a point (x, y) by 2 units to the right and 1 unit down?

Back

(x + 2, y - 1) is the rule for this translation.

Front

What does a reflection across the x-axis do to a point (x, y)?

Back

It transforms the point to (x, -y).

Front

What is the result of reflecting a point (3, 4) across the x-axis?

Back

The result is (3, -4).

Front

What is a rotation in geometry?

Back

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

Front

What is the angle of rotation for a 180-degree rotation?

Back

A 180-degree rotation turns a figure halfway around the center of rotation.

Front

Define dilation in geometry.

Back

Dilation is a transformation that changes the size of a figure but not its shape.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.