Translations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure or a space by the same distance in a given direction.

Front

How do you translate a point (x, y) 3 units to the left and 9 units down?

Back

The new coordinates will be (x - 3, y - 9).

Front

What is the translation rule for moving a point 2 units right and 3 units up?

Back

The rule is (x, y) --> (x + 2, y + 3).

Front

If a point (5, 7) is translated 4 units left and 2 units down, what are the new coordinates?

Back

The new coordinates are (1, 5).

Front

What does the notation (x, y) --> (x - 2, y + 3) represent?

Back

It represents a translation of 2 units left and 3 units up.

Front

How do you express a translation of a shape 6 units down and 3 units left?

Back

The translation can be expressed as (x, y) --> (x - 3, y - 6).

Front

What is the effect of translating a triangle ABC to A'B'C'?

Back

The triangle is moved to a new position without changing its shape or size.

Front

If Quadrilateral EFGH is translated 6 down and 3 left, what is the new position of point E (2, 3)?

Back

The new position of point E will be (-1, -3).

Front

What is the difference between a translation and a rotation?

Back

A translation moves a shape without changing its orientation, while a rotation turns a shape around a fixed point.

Front

How can you determine the translation vector from point A (1, 2) to point A' (4, 5)?

Back

The translation vector is (4 - 1, 5 - 2) = (3, 3).