Transformations - Translations, Reflections, & Rotations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you write the rule for a translation that moves a point 5 units up and 7 units right?

Back

(x, y) → (x + 7, y + 5)

Front

What is the algebraic rule for translating triangle ABC to triangle A'B'C' if it moves 2 units left and 9 units up?

Back

(x, y) → (x - 2, y + 9)

Front

What does the rule (x, y) → (x - 9, y - 3) represent?

Back

It represents a translation of a figure 9 units left and 3 units down.

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

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

Back

It describes a reflection over the y-axis.

Front

What is the rule for rotating a point 180° clockwise?

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 at a specified angle.

Front

How do you determine the direction of a rotation?

Back

The direction of a rotation can be clockwise or counterclockwise, specified in degrees.

Front

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

Back

(x, y) → (y, -x)