Translations

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

How do you represent a translation mathematically?

Back

A translation can be represented by a rule such as (x, y) → (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does it mean to translate a figure 5 units down and 3 units to the right?

Back

It means to move every point of the figure 5 units down on the y-axis and 3 units to the right on the x-axis.

Front

If a point A(2, 3) is translated 4 units left and 2 units up, what are the coordinates of A'?

Back

A'(-2, 5) because you subtract 4 from the x-coordinate and add 2 to the y-coordinate.

Front

What is the effect of translating a figure on its size and shape?

Back

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

Front

How do you find the translation rule from one figure to another?

Back

To find the translation rule, determine the horizontal and vertical shifts needed to move each point of the original figure to the corresponding point of the translated figure.

Front

What is the translation rule for moving a figure 3 units up and 2 units left?

Back

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

Front

If triangle A(1, 1), B(2, 2), and C(3, 3) is translated 5 units down, what are the new coordinates?

Back

The new coordinates are A(1, -4), B(2, -3), and C(3, -2).

Front

What is the difference between a translation and a rotation?

Back

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

Front

How can you describe the translation of quadrilateral EFGH to E'F'G'H'?

Back

You can describe it by specifying the number of units moved horizontally and vertically, such as '6 down and 3 left'.