Translations and Reflections

Front

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

Back

(x, y) → (x + 2, y + 3)

Front

What does a translation do to a figure on the coordinate plane?

Back

Slides it

Front

What is the translation rule for moving a point 2 units right and 6 units down?

Back

(x + 2, y - 6)

Front

If point C is at (2, 1), what is C' after a translation using the rule (x, y) → (x + 3, y + 1)?

Back

(5, 2)

Front

What is the term for flipping a figure over a line?

Back

Reflection

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

If a point (x, y) is translated 4 units left and 3 units down, what is the new position?

Back

(x - 4, y - 3)

Front

What is the difference between a translation and a reflection?

Back

A translation slides a figure, while a reflection flips it over a line.

Front

How do you represent a translation of a figure on a coordinate plane?

Back

By using a translation rule in the form (x, y) → (x + a, y + b).

Front

What happens to the coordinates of a point during a translation?

Back

The coordinates change based on the translation rule applied.