Transformations - Translations, Reflections, & Rotations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

What does the rule (x, y) → (x + a, y + b) represent?

Back

This rule represents a translation of a shape by 'a' units horizontally and 'b' units vertically.

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

What does the rule (x, y) → (-x, y) represent?

Back

This rule represents a reflection over the y-axis.

Front

What does the rule (x, y) → (x, -y) represent?

Back

This rule represents a reflection over the x-axis.

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 does the rule (x, y) → (-x, -y) represent?

Back

This rule represents a rotation of 180 degrees around the origin.

Front

How do you determine the image of a point after a reflection?

Back

To find the image of a point after a reflection, you apply the reflection rule to the coordinates of the point.

Front

What is the effect of a 90-degree clockwise rotation on the point (x, y)?

Back

The new coordinates will be (y, -x).

Front

What is the effect of a 270-degree clockwise rotation on the point (x, y)?

Back

The new coordinates will be (-y, x).