Translations

Front

What is a translation in geometry?

Back

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

Front

What is the result of a transformation called?

Back

Image

Front

If point A is at (1, 2), where will it be after translating 3 units to the right and 4 units down?

Back

(4, -2)

Front

What is the algebraic notation for translating a point (x, y) 6 units right and 5 units up?

Back

(x, y) --> (x + 6, y + 5)

Front

How do you translate a triangle 2 units left and 9 units up?

Back

Subtract 2 from the x-coordinate and add 9 to the y-coordinate.

Front

What does the term 'pre-image' refer to in transformations?

Back

The pre-image is the original figure before any transformation is applied.

Front

If triangle ABC is translated to triangle A'B'C', what is the relationship between the two?

Back

A'B'C' is the image of triangle ABC after the translation.

Front

How do you express a translation of 5 units left and 3 units down in algebraic notation?

Back

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

Front

What is the effect of translating a point (x, y) 0 units in the x-direction and 0 units in the y-direction?

Back

The point remains unchanged at (x, y).

Front

If a point A at (2, 3) is translated 4 units left, what are the new coordinates?

Back

(-2, 3)