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

Translation, Rotation, Reflection, Dilation.

Front

Define translation in geometry.

Back

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

Front

What is the algebraic representation of a translation 5 units right and 2 units up?

Back

(x, y) --> (x + 5, y + 2).

Front

What does a reflection do to a figure?

Back

A reflection flips a figure over a line, creating a mirror image.

Front

How do you represent a reflection over the y-axis algebraically?

Back

(x, y) --> (-x, y).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point called the center of rotation.

Front

What is the angle of rotation for a 90-degree clockwise rotation?

Back

(x, y) --> (y, -x).

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape.

Front

How do you represent a dilation with a scale factor of 2?

Back

(x, y) --> (2x, 2y).