Translations Practice/Review

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 constant distance in a specified direction.

Front

How do you determine the preimage point after a translation?

Back

To find the preimage point, subtract the translation vector from the image point.

Front

What is the translation rule for moving a point (x, y) to (x + a, y + b)?

Back

The translation rule is given by: (x, y) → (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

If a point is translated 4 units to the right, what happens to its x-coordinate?

Back

The x-coordinate increases by 4.

Front

If a point is translated 3 units down, what happens to its y-coordinate?

Back

The y-coordinate decreases by 3.

Front

Translate the point (2, 3) 5 units to the right and 2 units down. What is the new point?

Back

The new point is (7, 1).

Front

What is the effect of translating a shape 0 units horizontally and 0 units vertically?

Back

The shape remains in the same position; there is no change.

Front

How can you represent a translation on a coordinate plane?

Back

A translation can be represented by a vector indicating the direction and distance of the movement.

Front

What is the translation vector for moving a point from (1, 1) to (4, 5)?

Back

The translation vector is (3, 4).

Front

If a shape is translated 2 units left and 3 units up, what is the translation rule?

Back

The translation rule is: (x, y) → (x - 2, y + 3).