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 is the pre-image in a transformation?

Back

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

Front

What is the image in a transformation?

Back

The image is the resulting figure after a transformation has been applied.

Front

How do you translate a point (x, y) 3 units to the right and 6 units up?

Back

The new coordinates will be (x + 3, y + 6).

Front

If a point T is at (2, -5), where will it be after translating 3 units to the right and 6 units up?

Back

T' will be at (5, 1).

Front

What is the translation rule for moving a point 2 units to the left and 6 units down?

Back

The rule is (x - 2, y - 6).

Front

How do you translate a quadrilateral EFGH to E'F'G'H'?

Back

You apply the translation vector, which in this case is 6 down and 3 left.

Front

What does the notation (x + a, y + b) represent in translations?

Back

It represents a translation where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

If triangle A'B'C' is translated to triangle ABC, what is the translation rule if A' is at (1, 2) and A is at (3, -7)?

Back

The translation rule is (x + 2, y - 9).

Front

What is the effect of translating a figure 0 units horizontally and 0 units vertically?

Back

The figure remains unchanged; it is still in the same position.