Translations - Verbal Descriptions

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a figure or a space by the same distance in a given 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 does a positive value of 'a' indicate in a translation?

Back

A positive value of 'a' indicates a translation to the right.

Front

What does a negative value of 'a' indicate in a translation?

Back

A negative value of 'a' indicates a translation to the left.

Front

What does a positive value of 'b' indicate in a translation?

Back

A positive value of 'b' indicates a translation upward.

Front

What does a negative value of 'b' indicate in a translation?

Back

A negative value of 'b' indicates a translation downward.

Front

Translate the point (3, 4) by 5 units to the right and 2 units down. What is the new point?

Back

The new point is (8, 2).

Front

Translate the point (0, 0) by -3 units to the left and 4 units up. What is the new point?

Back

The new point is (-3, 4).

Front

If a point is translated from (x, y) to (x + 2, y - 3), how would you describe this translation?

Back

This translation is 2 units to the right and 3 units down.

Front

What is the effect of translating a shape on its size and orientation?

Back

Translating a shape does not change its size or orientation; it simply moves the shape to a different location.