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 does a 90° clockwise rotation do to a shape?

Back

A 90° clockwise rotation turns a shape 90 degrees to the right around a fixed point.

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

How do you identify a reflection across the x-axis?

Back

In a reflection across the x-axis, the y-coordinates of the points change sign, while the x-coordinates remain the same.

Front

What is the effect of reflecting a shape across the y-axis?

Back

In a reflection across the y-axis, the x-coordinates of the points change sign, while the y-coordinates remain the same.

Front

Explain the concept of dilation in geometry.

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

What is the rule for translating a shape 3 units right and 2 units down?

Back

The rule is (x, y) → (x + 3, y - 2).

Front

How do you perform a 180° rotation on a point (x, y)?

Back

A 180° rotation transforms the point (x, y) to (-x, -y).