Translations Practice

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation mathematically?

Back

A translation can be represented as a rule: (x, y) → (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

If a point (2, 3) is translated 4 units to the right and 2 units down, what is the new position?

Back

(6, 1) - The new position is found by adding 4 to the x-coordinate and subtracting 2 from the y-coordinate.

Front

What is the translation rule for moving a point 5 units left and 3 units up?

Back

(x, y) → (x - 5, y + 3) - This rule describes the movement of the point.

Front

If point A(1, 2) is translated to point A'(4, 5), what is the translation vector?

Back

The translation vector is (3, 3) - This is found by subtracting the coordinates of A from A'.

Front

What does it mean to translate a shape downwards?

Back

Translating a shape downwards means moving every point of the shape vertically downward by a certain distance.

Front

If a point is translated 2 units left and 1 unit up, what is the translation rule?

Back

(x, y) → (x - 2, y + 1) - This rule indicates the changes in the coordinates.

Front

How do you find the preimage of a translated point?

Back

To find the preimage, reverse the translation by applying the opposite shifts to the translated point.

Front

If point B(3, -1) is translated to B'(3, 4), what was the translation?

Back

The translation was 0 units horizontally and 5 units vertically up.

Front

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

Back

Translating a shape 0 units horizontally means it will not move left or right, only the vertical position may change.