Translations

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you translate a point (x, y) 3 units to the right and 6 units up?

Back

The new coordinates will be (x + 3, y + 6).

Front

What is the image in a transformation?

Back

The image is the result of a transformation applied to a pre-image.

Front

If point M (-3, 5) is translated using the rule (x, y) --> (x - 1, y), what are the coordinates of M'?

Back

M' is (-4, 5).

Front

What does the notation (x + a, y + b) represent in translations?

Back

It represents a translation of a point (x, y) by 'a' units horizontally and 'b' units vertically.

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.

Front

If a point is translated 4 squares right and 1 square up, what is the transformation rule?

Back

The transformation rule is (x + 4, y + 1).

Front

What happens to the coordinates of a point when it is translated left?

Back

The x-coordinate decreases by the number of units translated.

Front

What happens to the coordinates of a point when it is translated down?

Back

The y-coordinate decreases by the number of units translated.

Front

If point A (2, 3) is translated to A' (5, 7), what is the translation rule?

Back

The translation rule is (x + 3, y + 4).