Transformations

Front

What is the term for changing the size of a figure?

Back

Dilation

Front

What transformation is described by the rule (x, y) -> (x, -y)?

Back

Reflection across the x-axis

Front

What is the term for turning a figure around a point?

Back

Rotation

Front

What type of transformation results in congruent figures?

Back

Reflection

Front

What does the transformation (x, y) -> (x+3, y) represent?

Back

Translation 3 units to the right

Front

What is the definition of a transformation in geometry?

Back

A transformation is a function that maps a set of points to another set of points, altering their position, size, or orientation.

Front

What is the difference between a rigid transformation and a non-rigid transformation?

Back

A rigid transformation preserves the shape and size of a figure (e.g., rotation, reflection, translation), while a non-rigid transformation alters the size or shape (e.g., dilation).

Front

What is the effect of a reflection transformation on a figure?

Back

A reflection transformation flips a figure over a line, creating a mirror image.

Front

What is the center of rotation in a rotation transformation?

Back

The center of rotation is the fixed point around which a figure rotates.

Front

How does a translation transformation affect the coordinates of a figure?

Back

A translation transformation shifts all points of a figure by a certain distance in a specified direction.