Translations

Front

What is the result of translating a point (x, y) 3 units to the left and 9 units down?

Back

The new coordinates will be (x - 3, y - 9).

Front

How do you express the translation of a point (x, y) to the right by 2 units and down by 9 units?

Back

The new coordinates will be (x + 2, y - 9).

Front

What does the transformation (x, y) --> (x + 2, y - 3) represent?

Back

It represents a translation 2 units to the right and 3 units down.

Front

If trapezoid ABCD is translated 8 units down and 5 units to the right, what are the new coordinates of point A if A is originally at (x, y)?

Back

The new coordinates of point A will be (x + 5, y - 8).

Front

What is the translation vector for moving triangle ABC down 9 units and right 4 units?

Back

The translation vector is (4, -9).

Front

How do you determine the new position of a point after a translation?

Back

Add the translation vector to the original coordinates of the point.

Front

What is the general formula for translating a point (x, y) by (a, b)?

Back

The new coordinates will be (x + a, y + b).

Front

If a point is translated 5 units to the right and 2 units up, what is the translation vector?

Back

The translation vector is (5, 2).

Front

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

Back

Translation does not change the size or orientation of a shape; it only changes its position.

Front

How can you represent the translation of a triangle A'B'C' to triangle ABC in coordinate terms?

Back

You can express it as (x + a, y + b) where (a, b) is the translation vector.