Translations

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation of a figure 5 units to the right and 3 units up algebraically?

Back

(x+5, y+3)

Front

What happens to the x-coordinate when a figure is translated 4 units to the left?

Back

The x-coordinate decreases by 4.

Front

If point P(2, 3) is translated 6 units down, what are the coordinates of the new point P'?

Back

(2, -3)

Front

What is the effect of translating a figure 10 units up on its y-coordinates?

Back

All y-coordinates increase by 10.

Front

When translating a figure, which coordinate is affected by movement to the right?

Back

The x-coordinate.

Front

If a point Q(4, -2) is translated 3 units to the left and 1 unit up, what are the new coordinates of point Q'?

Back

(1, -1)

Front

What is the algebraic representation of translating a figure 7 units down?

Back

(x, y-7)

Front

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

Back

Add the translation values to the original coordinates.

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 (2, 5)?

Back

(7, 1)