transformations

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

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 a given 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

Explain rotation in geometry.

Back

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

Front

What is the effect of reflecting a point over the y-axis?

Back

Reflecting a point (x, y) over the y-axis results in the point (-x, y).

Front

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

Back

Reflecting a point (x, y) over the x-axis results in the point (x, -y).

Front

What is the rule for translating a point (x, y) 4 units to the right and 3 units up?

Back

The rule is (x + 4, y + 3).

Front

If a point (a, b) is rotated 90 degrees counterclockwise around the origin, what is the new position?

Back

The new position is (-b, a).

Front

What is the sequence of transformations?

Back

A sequence of transformations is a series of transformations applied one after the other to a shape.