Transformations

Front

What is a transformation in geometry?

Back

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

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What does it mean to rotate a shape?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to (-x, y).

Front

What is the result of translating a point (2, 3) 3 units left and 2 units down?

Back

The new point is (-1, 1).

Front

What is the difference between a translation and a reflection?

Back

A translation moves a shape without changing its orientation, while a reflection flips it over a line.

Front

How do you perform a translation of a shape?

Back

To translate a shape, add the translation vector to each point of the shape.

Front

What is the effect of rotating a shape 90 degrees clockwise?

Back

Rotating a shape 90 degrees clockwise changes the coordinates (x, y) to (y, -x).