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

What is the algebraic notation for a translation that moves a point 5 units right and 3 units up?

Back

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

Front

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

Back

(2, 3) --> (-2, 1)

Front

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

Back

It represents a translation where the figure is moved 'a' units left and 'b' units up.

Front

How do you represent a translation of 6 units down and 4 units right in algebraic notation?

Back

(x, y) --> (x + 4, y - 6)

Front

What is the effect of translating a figure 0 units in the x-direction and 5 units in the y-direction?

Back

The figure moves 5 units up without changing its horizontal position.

Front

What is the algebraic notation for a translation that moves a point 10 units left?

Back

(x, y) --> (x - 10, y)

Front

If a figure is translated 3 units right and 7 units down, what is the algebraic notation?

Back

(x, y) --> (x + 3, y - 7)

Front

What transformation is represented by the notation (x, y) --> (x + 2, y + 4)?

Back

It represents a translation 2 units right and 4 units up.

Front

What is the result of translating the point (5, 5) by (x, y) --> (x - 3, y + 2)?

Back

(5, 5) --> (2, 7)