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 term 'pre-image' refer to?

Back

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

Front

How do you translate a point (x, y) 3 units up and 2 units to the right?

Back

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

Front

If triangle ABC is translated down 9 units and right 4 units, what are the new coordinates of point A if A is at (2, 3)?

Back

The new coordinates of point A will be (6, -6).

Front

What is the rule for translating a point (x, y) 5 units down?

Back

The rule is (x, y) --> (x, y - 5).

Front

What is the effect of translating a figure 0 units in the x-direction?

Back

The figure remains unchanged in the x-direction; only the y-coordinates may change.

Front

How do you determine the translation vector from triangle ABC to triangle A'B'C'?

Back

Subtract the coordinates of triangle ABC from the coordinates of triangle A'B'C'.

Front

What is the translation of trapezoid ABCD if it moves 5 units down and 5 units to the right?

Back

The new coordinates will be (x + 5, y - 5) for each point of trapezoid ABCD.

Front

If a triangle is translated left 2 units and down 5 units, what is the translation rule?

Back

The rule is (x, y) --> (x - 2, y - 5).

Front

What happens to the shape and size of a figure during a translation?

Back

The shape and size of the figure remain unchanged during a translation.