Geometric Translations

Front

What is a geometric translation?

Back

A geometric translation is a transformation that moves every point of a shape a certain distance in a specified direction without changing its size, shape, or orientation.

Front

If a point (x, y) is translated to (x + a, y + b), what do 'a' and 'b' represent?

Back

'a' represents the horizontal shift (right if positive, left if negative) and 'b' represents the vertical shift (up if positive, down if negative).

Front

What are the new coordinates of point P(2, 3) after a translation of (x, y) -> (x - 4, y + 2)?

Back

P'(-2, 5)

Front

How do you translate a point 5 units to the right and 3 units down?

Back

Use the translation rule (x, y) -> (x + 5, y - 3).

Front

What is the result of translating point Q(0, 0) using the rule (x, y) -> (x + 2, y - 1)?

Back

Q'(2, -1)

Front

If triangle ABC has vertices A(1, 1), B(2, 2), and C(3, 3), what are the coordinates after a translation of (x, y) -> (x + 1, y + 1)?

Back

A'(2, 2), B'(3, 3), C'(4, 4)