Translation and Translation Rules

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure from one position to another without changing its shape, size, or orientation.

Front

How do you represent a translation mathematically?

Back

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

Front

What does the rule (x + 2, y - 6) indicate?

Back

This rule indicates a translation 2 units to the right and 6 units down.

Front

If a figure is translated 4 units up, what is the translation rule?

Back

The translation rule would be (x, y + 4).

Front

What is the effect of the translation rule (x - 3, y + 5)?

Back

This rule translates a figure 3 units to the left and 5 units up.

Front

What does it mean to translate a figure 6 units to the right and 4 units down?

Back

It means to move every point of the figure 6 units to the right on the x-axis and 4 units down on the y-axis.

Front

How do you find the new coordinates of a point after translation?

Back

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

Front

What is the translation rule for moving a point (2, 3) to (5, 1)?

Back

The translation rule is (x + 3, y - 2).

Front

What is the difference between translation and rotation?

Back

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

Front

If triangle ABC is translated according to the rule (x + 5, y - 3), what happens to point A(1, 2)?

Back

Point A will move to A'(6, -1).