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

How do you represent a translation mathematically?

Back

A translation can be represented as (x, y) --> (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What is the pre-image in a transformation?

Back

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

Front

If point A(2, 3) is translated 3 units left and 2 units down, what are the coordinates of A'?

Back

A' would be (-1, 1).

Front

What does the notation (x, y) --> (x - 2, y + 3) indicate?

Back

It indicates a translation 2 units to the left and 3 units up.

Front

What is the image in a transformation?

Back

The image is the resulting figure after a transformation has been applied to the pre-image.

Front

If triangle ABC is translated according to the rule (x + 4, y - 1), where will point B(1, 2) be located?

Back

Point B' will be at (5, 1).

Front

What is the effect of translating a figure 0 units horizontally and 5 units vertically?

Back

The figure will move straight up by 5 units without changing its horizontal position.

Front

How do you find the new coordinates after a translation?

Back

Add the translation values to the original coordinates: New x = original x + a, New y = original y + b.

Front

What is the difference between a translation and a rotation?

Back

A translation moves a figure without changing its orientation, while a rotation turns a figure around a fixed point.