Translation

Front

What is a translation in geometry?

Back

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

Front

What does the notation (x, y) --> (x + a, y + b) represent?

Back

It represents a translation of a point (x, y) by 'a' units horizontally and 'b' units vertically.

Front

If a point (3, 4) is translated 2 units right and 3 units down, what is the new position?

Back

(5, 1)

Front

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

Back

The figure remains unchanged.

Front

How do you express a translation of 4 units left and 2 units up in algebraic notation?

Back

(x, y) --> (x - 4, y + 2)

Front

What is the difference between a translation and a rotation?

Back

A translation slides a figure without changing its orientation, while a rotation turns a figure around a fixed point.

Front

If triangle ABC is translated to triangle A'B'C', what does this mean?

Back

It means that every point of triangle ABC has been moved to a new position to form triangle A'B'C' without changing its shape or size.

Front

What is the algebraic notation for a translation of 5 units right and 3 units down?

Back

(x, y) --> (x + 5, y - 3)

Front

What happens to the coordinates of a point when it is translated 6 units left?

Back

The x-coordinate decreases by 6.

Front

If a figure is translated 10 units up, how does this affect its y-coordinates?

Back

All y-coordinates increase by 10.