Translations

Front

What is the definition of a translation in geometry?

Back

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

Front

What does it mean for translations to be congruent?

Back

Translations are congruent because they preserve the shape and size of the figure being moved.

Front

How can you express a translation rule mathematically?

Back

A translation rule can be expressed as (x, y) → (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

If a point (x, y) is translated to (x, y + 4), what direction and distance is the point moved?

Back

The point is moved up 4 units.

Front

When translating a figure to the right, what happens to the x-coordinate?

Back

The x-coordinate increases by a certain value.

Front

What is the effect of translating a figure downwards on its y-coordinate?

Back

The y-coordinate decreases by a certain value.

Front

What is the translation rule for moving a point 2 units to the right and 1 unit down?

Back

The translation rule is (x, y) → (x + 2, y - 1).

Front

If a shape is translated left 3 units and down 3 units, what is the translation rule?

Back

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

Front

What is the relationship between the original figure and its translated image?

Back

The original figure and its translated image are congruent and have the same dimensions.

Front

How do you determine the direction of a translation?

Back

The direction of a translation is determined by the signs of the values added to the x and y coordinates.