Translations

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a figure or a space by the same distance in a given direction.

Front

How do you represent a translation using arrow notation?

Back

A translation can be represented in arrow notation as (x, y) --> (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What are the effects of translating a point 5 units left and 2 units up?

Back

The new coordinates of the point (x, y) after translation will be (x - 5, y + 2).

Front

If Point F is at (1, 3), what are the coordinates after a translation of 5 units left and 2 units up?

Back

The new coordinates will be (-4, 5).

Front

What is the rule for translating a point 3 units left and 9 units down?

Back

The rule is (x, y) --> (x - 3, y - 9).

Front

How do you find the image of a point after translation?

Back

To find the image of a point after translation, apply the translation rule to the original coordinates.

Front

What does the translation rule (x - 1, y) indicate?

Back

This rule indicates that the x-coordinate decreases by 1 while the y-coordinate remains unchanged.

Front

If Point M is at (-3, 5) and is translated using the rule (x, y) --> (x - 1, y), what are the new coordinates?

Back

The new coordinates of M' will be (-4, 5).

Front

What is the image of Point X at (1, 4) after translating it 3 units left and 2 units down?

Back

The new coordinates will be (-2, 2).

Front

What does the translation rule (x + 2, y - 6) mean?

Back

This rule means to move the point 2 units to the right and 6 units down.