Translations on the Coordinate Plane

Front

What is a translation in the context of the coordinate plane?

Back

A translation is a type of transformation that moves every point of a shape a constant distance in a specified direction.

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 a positive value for 'a' indicate in a translation?

Back

A positive value for 'a' indicates a translation to the right on the x-axis.

Front

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

Back

A negative value for 'a' indicates a translation to the left on the x-axis.

Front

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

Back

A positive value for 'b' indicates a translation upward on the y-axis.

Front

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

Back

A negative value for 'b' indicates a translation downward on the y-axis.

Front

If triangle ABC is translated to triangle A'B'C', what does this imply about their coordinates?

Back

The coordinates of triangle A'B'C' are derived from the coordinates of triangle ABC by applying the translation vector.

Front

How can you determine the translation vector from one shape to another?

Back

The translation vector can be determined by finding the difference in coordinates between corresponding points of the two shapes.

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 only changes its position.

Front

If a point (x, y) is translated by (3, -2), what are the new coordinates?

Back

The new coordinates will be (x + 3, y - 2).