Translations

Front

What is the algebraic notation for translating a figure 6 units right and 5 units up?

Back

(x, y) --> (x + 6, y + 5)

Front

What is the algebraic notation for translating a figure 9 units right and 3 units down?

Back

(x, y) --> (x + 9, y - 3)

Front

What do we call the original figure prior to a transformation?

Back

Pre-image

Front

What transformation is represented by the notation (x, y) --> (x + 2, y - 3)?

Back

Slide right 2, down 3

Front

What is the rule for the translation that slides a figure 3 units up and 2 units right?

Back

(x, y) --> (x + 2, y + 3)

Front

What is the general form of a translation in algebraic notation?

Back

(x, y) --> (x + a, y + b) where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

If a figure is translated 4 units left, what is the algebraic notation?

Back

(x, y) --> (x - 4, y)

Front

If a figure is translated 5 units down, what is the algebraic notation?

Back

(x, y) --> (x, y - 5)

Front

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

Back

A translation does not change the size or shape of a figure; it only changes its position.

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure to a different location without changing its orientation, while a reflection flips a figure over a line.