Translations Exit Ticket

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point (x, y) 3 units to the left and 9 units down?

Back

To translate the point (x, y) 3 units to the left and 9 units down, you subtract 3 from the x-coordinate and 9 from the y-coordinate, resulting in (x-3, y-9).

Front

If point X is at (1, 4), where is X' after translating 3 units left and 9 units down?

Back

X' would be at (-2, -5).

Front

What does a translation do to an image?

Back

A translation slides the image to a new position without changing its shape, size, or orientation.

Front

How do you determine the new coordinates after a translation?

Back

Add or subtract the translation values from the original coordinates. For example, to translate (x, y) by (a, b), the new coordinates are (x+a, y+b).

Front

What is the result of translating point T (2, -5) 3 units to the right and 6 units up?

Back

The new coordinates T' would be (5, 1).

Front

If trapezoid ABCD is translated 5 units down and 5 units to the right, what are the new coordinates of point A (2, 3)?

Back

The new coordinates of point A would be (7, -2).

Front

What is the effect of translating a shape on its area?

Back

The area of the shape remains unchanged after a translation.

Front

If a point is translated 8 units down and 5 units to the right, how do you express this mathematically?

Back

If the original point is (x, y), the new point after translation is (x+5, y-8).

Front

What is the difference between a translation and a rotation?

Back

A translation slides a shape without changing its orientation, while a rotation turns a shape around a fixed point.