Translations

Front

What is a translation in geometry?

Back

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

Front

If point A is at (2, 3) and is translated 4 units to the right and 1 unit down, where is point A' located?

Back

Point A' is at (6, 2).

Front

What does the notation (x, y) --> (x + a, y + b) represent?

Back

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

Front

What is the image of a figure?

Back

The image of a figure is the result of a transformation applied to the original figure, known as the pre-image.

Front

How do you translate a point 3 units left and 2 units up?

Back

You subtract 3 from the x-coordinate and add 2 to the y-coordinate.

Front

What is the result of translating point B(1, 4) 5 units to the left?

Back

Point B' is at (-4, 4).

Front

If a point is translated 0 units horizontally and 5 units down, what is the change in its coordinates?

Back

The x-coordinate remains the same, and the y-coordinate decreases by 5.

Front

What is the algebraic representation of translating a point (x, y) 7 units right and 3 units up?

Back

(x, y) --> (x + 7, y + 3).

Front

If point C(3, 2) is translated to C'(3, -1), what was the translation?

Back

The translation was 0 units horizontally and 3 units down.

Front

What does it mean to slide a figure in geometry?

Back

To slide a figure means to perform a translation, moving it without rotating or flipping it.