Transformations

Front

What is the rule for translating a point 2 units left and 3 units up?

Back

(x, y) → (x - 2, y + 3)

Front

What type of transformation is a translation?

Back

Congruent

Front

What is the definition of a reflection in geometry?

Back

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

Front

What does the translation (x, y) → (x, y + 6) do to a point?

Back

Moves the point 6 units up.

Front

What does the translation (x, y) → (x - 4, y) do to a point?

Back

Moves the point 4 units left.

Front

What is the general form of a translation rule?

Back

(x, y) → (x + a, y + b), where a and b are the horizontal and vertical shifts.

Front

What is the effect of a translation on the size and shape of a figure?

Back

The size and shape remain unchanged; only the position changes.

Front

What is the difference between a translation and a rotation?

Back

A translation moves a figure without changing its orientation, while a rotation turns a figure around a point.

Front

What is the result of translating a triangle 5 units right and 2 units down?

Back

Each vertex of the triangle moves 5 units right and 2 units down.

Front

How do you represent a translation that moves a point (3, 4) 1 unit left and 2 units up?

Back

(3, 4) → (3 - 1, 4 + 2) = (2, 6)