Translations - Verbal Descriptions

Front

What is a translation in geometry?

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 translate a point (x, y) up by 4 units?

Back

The new coordinates will be (x, y + 4).

Front

What happens to the x-coordinate when translating a shape to the left?

Back

The x-coordinate decreases by the number of units moved left.

Front

What happens to the y-coordinate when translating a shape down?

Back

The y-coordinate decreases by the number of units moved down.

Front

If a point (2, 3) is translated 5 units right and 2 units down, what are the new coordinates?

Back

The new coordinates are (7, 1).

Front

What does the transformation (x, y) --> (x - 3, y) represent?

Back

It represents a translation 3 units to the left.

Front

What does the transformation (x, y) --> (x, y + 6) represent?

Back

It represents a translation 6 units up.

Front

When translating a triangle ABC to A'B'C', if A moves down 9 and right 4, what are the new coordinates of A'?

Back

If A is at (x, y), then A' will be at (x + 4, y - 9).

Front

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

Back

The shape remains unchanged in the x-coordinate.

Front

If a shape is translated 8 units to the right, how does this affect its position on the coordinate plane?

Back

The entire shape moves 8 units to the right along the x-axis.