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

Define reflection in geometry.

Back

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

Front

What is a rotation in geometry?

Back

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

Front

Explain translation in geometry.

Back

Translation is a transformation that slides a figure from one position to another without turning or flipping it.

Front

What does it mean to reflect a point over the x-axis?

Back

To reflect a point over the x-axis, you change the sign of the y-coordinate while keeping the x-coordinate the same.

Front

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

Back

To reflect a point over the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same.

Front

What is the result of a 180-degree rotation of the point (x, y)?

Back

The result is the point (-x, -y).

Front

What is the effect of translating a point (x, y) by (a, b)?

Back

The new point will be (x + a, y + b).

Front

Identify the transformation: A triangle is flipped over the y-axis.

Back

Reflection across the y-axis.

Front

Identify the transformation: A square is moved 3 units to the right and 2 units up.

Back

Translation.