Transformations

Front

What is a translation in geometry?

Back

A transformation that slides or moves a figure from one position to another without changing its shape or size.

Front

Describe the transformation represented by (x, y) -> (x+3, y).

Back

Translation 3 units to the right.

Front

What does a horizontal stretch do to a figure?

Back

It stretches the figure horizontally, making it wider by a specified factor.

Front

Describe the transformation represented by (x, y) -> (3x, y).

Back

Horizontal stretch 3 times as wide.

Front

What is a vertical stretch?

Back

A transformation that stretches a figure vertically, making it taller by a specified factor.

Front

Describe the transformation represented by (x, y) -> (x, 2y).

Back

Vertical stretch 2 times as tall.

Front

What is the effect of the transformation (x, y) -> (x-1, y+1)?

Back

Translation 1 unit to the left and 1 unit up.

Front

What is the general form of a translation transformation?

Back

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

Front

What is the difference between a translation and a reflection?

Back

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

Front

What is the transformation that moves a figure without changing its size or shape?

Back

Translation.