Translations

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape or object a certain distance in a specified direction.

Front

If a point (x, y) is translated 3 units to the right, what are the new coordinates?

Back

(x + 3, y)

Front

If a point (x, y) is translated 2 units up, what are the new coordinates?

Back

(x, y + 2)

Front

What do we call the original figure before a translation?

Back

Pre-image

Front

What do we call the figure after a translation?

Back

Image

Front

How do you translate a point 5 units to the left and 2 units up?

Back

Subtract 5 from the x-coordinate and add 2 to the y-coordinate.

Front

What is the rule for translating a point (3, 4) 2 units left and 3 units down?

Back

(3 - 2, 4 - 3) = (1, 1)

Front

If point A is at (2, 3) and is translated 4 units to the right and 1 unit down, what are the new coordinates?

Back

(2 + 4, 3 - 1) = (6, 2)

Front

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

Back

The size and shape of the figure remain unchanged after a translation.

Front

If triangle ABC is translated according to the rule (x + 2, y - 5), what happens to the coordinates of each vertex?

Back

Each vertex's x-coordinate increases by 2 and y-coordinate decreases by 5.