3.2 Practice - Translations

Front

What is a translation in geometry?

Back

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

Front

What does the translation rule (x, y) → (x + 3, y - 4) indicate?

Back

This rule indicates that each point of the figure is moved 3 units to the right and 4 units down.

Front

What is the image in a transformation?

Back

The image is the new figure that results from applying a transformation to the original figure.

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.

Front

How do you describe the translation (x, y) → (x + 2, y - 3)?

Back

This translation moves the figure 2 units to the right and 3 units down.

Front

What is a vector in the context of translations?

Back

A vector describes the direction and distance of a translation, represented as .

Front

What does the vector < -3, -6 > represent in a translation?

Back

It represents a translation of 3 units to the left and 6 units down.

Front

If triangle ABC is translated to triangle A'B'C' using the rule (x, y) → (x - 2, y + 9), what is the direction of the translation?

Back

The translation moves the triangle 2 units to the left and 9 units up.

Front

What is the effect of a translation on the size and shape of a figure?

Back

A translation does not change the size or shape of a figure; it only changes its position.

Front

How can you determine the new coordinates of a point after a translation?

Back

Add the translation values to the original coordinates: (x + a, y + b), where (a, b) are the translation values.