Transformations Geometry

Front

What is a transformation in geometry?

Back

A transformation in geometry 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 a shape from one location to another without changing its size, shape, or orientation.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation.

Front

What is reflection in geometry?

Back

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

Front

Define 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 point (x, y) 2 units right and 3 units up?

Back

(x, y) → (x + 2, y + 3)

Front

What is the rule for reflecting a point (x, y) over the x-axis?

Back

(x, y) → (x, -y)

Front

What is the rule for rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

(x, y) → (-y, x)

Front

What does it mean to rotate a shape 180 degrees?

Back

Rotating a shape 180 degrees around a point results in a shape that is upside down from its original position.