Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in a specific way, such as translation, reflection, or rotation.

Front

What does it mean to translate a shape?

Back

To translate a shape means to slide it from one position to another without changing its size, shape, or orientation.

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

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

What is the result of a 90° clockwise rotation?

Back

A 90° clockwise rotation turns a shape to the right, changing its orientation.

Front

What is the result of a reflection across the x-axis?

Back

A reflection across the x-axis flips the shape over the x-axis, changing the sign of the y-coordinates.

Front

What is the result of a reflection across the y-axis?

Back

A reflection across the y-axis flips the shape over the y-axis, changing the sign of the x-coordinates.

Front

What are congruent shapes?

Back

Congruent shapes are shapes that are identical in shape and size, but may be in different positions or orientations.

Front

What is the difference between rigid and non-rigid transformations?

Back

Rigid transformations preserve the shape and size of a figure (e.g., translations, reflections, rotations), while non-rigid transformations can change the size or shape (e.g., dilations).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped to create its mirror image.