Transformations. Sequence of Transformations.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. Common types include translations, rotations, reflections, and dilations.

Front

Define translation in the context of transformations.

Back

A translation is a type of transformation that slides a figure in a straight line 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 figure over a line, creating a mirror image of the original figure.

Front

Explain rotation as a transformation.

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle in a specified direction.

Front

What is the effect of a 90° counter-clockwise rotation on a point (x, y)?

Back

The new coordinates after a 90° counter-clockwise rotation are (-y, x).

Front

Describe the sequence of transformations: reflection followed by translation.

Back

This sequence first flips the figure over a specified line and then slides it to a new position.

Front

What is the result of a reflection over the y-axis for the point (x, y)?

Back

The new coordinates after reflection over the y-axis are (-x, y).

Front

How does a 180° rotation affect the coordinates of a point (x, y)?

Back

The new coordinates after a 180° rotation are (-x, -y).

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

Front

What is the final position of point B after a reflection over the x-axis and a translation 4 units right?

Back

If B is at (x, y), after reflection over the x-axis it becomes (x, -y), and after translation it becomes (x+4, -y).