Transformations Review (Tues, Nov 26)

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, Reflection, Rotation, Dilation.

Front

Define Translation.

Back

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

Front

Define Reflection.

Back

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

Front

Define Rotation.

Back

Rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

Define Dilation.

Back

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

Front

What is the Algebraic Notation for a reflection over the x-axis?

Back

(x, y) → (x, -y).

Front

What is the Algebraic Notation for a reflection over the y-axis?

Back

(x, y) → (-x, y).

Front

What is the result of reflecting the point (3, 4) over the x-axis?

Back

(3, -4).

Front

What is the result of reflecting the point (2, -5) over the y-axis?

Back

(-2, -5).