Translations

Front

How do you represent a translation algebraically?

Back

(x + a, y + b) - This means to move the point (x, y) by 'a' units in the x-direction and 'b' units in the y-direction.

Front

What is the effect of translating a point 5 units down and 5 units to the right?

Back

The new coordinates will be (x + 5, y - 5).

Front

If a shape is translated 3 units left and 3 units down, what is the algebraic representation?

Back

(x - 3, y - 3) - This indicates a shift left and down.

Front

What does the transformation (x, y) --> (x, y + 4) indicate?

Back

It indicates a translation of the point 4 units up.

Front

How do you translate point P to P' if P is at (2, 3) and you need to move it 2 units to the right and 8 units down?

Back

P' will be at (4, -5).

Front

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

Back

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

Front

If a shape is translated 2 units right and 3 units up, what is the new position of the point (1, 1)?

Back

The new position will be (3, 4).

Front

What does it mean to translate a shape?

Back

To translate a shape means to move it from one position to another without changing its size, shape, or orientation.

Front

If a point is translated 4 units down, what is the new y-coordinate if the original y-coordinate is 10?

Back

The new y-coordinate will be 6.

Front

What is the result of translating the point (0, 0) by (3, -2)?

Back

The new point will be (3, -2).