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 algebraically?

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 happens to the x-coordinate when translating a figure to the right?

Back

The x-coordinate increases.

Front

What happens to the y-coordinate when translating a figure upwards?

Back

The y-coordinate increases.

Front

If a figure is translated 3 units left, what is the algebraic representation?

Back

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

Front

If a figure is translated 4 units down, what is the algebraic representation?

Back

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

Front

When translating a figure, which coordinate is affected by horizontal movement?

Back

The x-coordinate.

Front

When translating a figure, which coordinate is affected by vertical movement?

Back

The y-coordinate.

Front

How do you translate a triangle 2 units to the right and 5 units down?

Back

(x, y) --> (x + 2, y - 5).

Front

What is the effect of translating a figure 6 units to the left?

Back

The x-coordinate decreases by 6.