Transformations Unit Test 2024 V2

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. Common types include translations, rotations, reflections, and dilations.

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 9 units right and 3 units down?

Back

(x, y) → (x + 9, y - 3)

Front

What does a 180° rotation around the origin do to a point (x, y)?

Back

It transforms the point to (-x, -y).

Front

What is a reflection in geometry?

Back

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

Front

How can you determine if a figure maps to itself after a reflection?

Back

A figure maps to itself after a reflection if it lies on the line of reflection.

Front

What is the effect of a reflection across the y-axis on a point (x, y)?

Back

It transforms the point to (-x, y).

Front

What is the effect of a reflection across the x-axis on a point (x, y)?

Back

It transforms the point to (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 algebraic representation of a 90° clockwise rotation around the origin?

Back

(x, y) → (y, -x).