Translations

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation algebraically?

Back

A translation can be represented 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 up?

Back

It means to move every point of the figure 5 units in the positive y-direction.

Front

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

Back

The new position is (5, 1).

Front

What is the effect of translating a figure 0 units horizontally and 4 units vertically?

Back

The figure will move 4 units up if the translation is positive or 4 units down if the translation is negative.

Front

Write the translation rule for moving a point 6 units left and 2 units down.

Back

The rule is (x, y) -> (x - 6, y - 2).

Front

How do you translate a triangle 3 units right and 5 units up?

Back

You apply the rule (x, y) -> (x + 3, y + 5) to each vertex of the triangle.

Front

What is the translation of trapezoid ABCD to A'B'C'D' if it moves 8 units down and 5 units to the right?

Back

The translation can be represented as (x, y) -> (x + 5, y - 8).

Front

If a figure is translated 4 units left, what is the algebraic representation?

Back

The representation is (x, y) -> (x - 4, y).

Front

What happens to the coordinates of a point when it is translated 10 units up?

Back

The y-coordinate increases by 10, while the x-coordinate remains unchanged.