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

How do you represent a translation mathematically?

Back

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

Front

What does the rule (x, y) → (x + 2, y - 3) indicate?

Back

This rule indicates a translation 2 units to the right and 3 units down.

Front

If a point (x, y) is translated 5 units up, what is the new position?

Back

The new position will be (x, y + 5).

Front

What is the effect of translating a point 0 units horizontally and 4 units vertically?

Back

The point will move 4 units up if the translation is positive or 4 units down if the translation is negative.

Front

How do you find the new coordinates after a translation?

Back

To find the new coordinates, apply the translation rule to the original coordinates by adding the horizontal and vertical shifts.

Front

What happens to the point (3, 2) when translated 4 units left and 1 unit down?

Back

The new coordinates will be (-1, 1).

Front

What is the translation rule for moving a shape 6 units right and 2 units down?

Back

The translation rule is (x, y) → (x + 6, y - 2).

Front

If triangle ABC is translated down 3 and right 4, what is the new position of point A at (1, 2)?

Back

The new position of point A will be (5, -1).

Front

What does the term 'slide' refer to in translations?

Back

'Slide' refers to the movement of a shape or point in a straight line without changing its size or orientation.