Translations

Front

What is a translation in mathematics?

Back

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

Front

What does the rule (x + 2, y - 1) indicate?

Back

It indicates that for every point (x, y) of a shape, the new point after translation will be 2 units to the right and 1 unit down.

Front

If a point A is at (1, 2), where will it be after a translation of 3 units left and 4 units up?

Back

The new coordinates will be (-2, 6).

Front

What is the effect of translating a shape 5 units to the right?

Back

Every point of the shape will move 5 units to the right along the x-axis.

Front

How do you represent a translation mathematically?

Back

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

Front

What are the coordinates of point B after translating (3, 4) 2 units left and 3 units down?

Back

The new coordinates will be (1, 1).

Front

What does the term 'horizontal translation' refer to?

Back

A horizontal translation refers to moving a shape left or right along the x-axis.

Front

What does the term 'vertical translation' refer to?

Back

A vertical translation refers to moving a shape up or down along the y-axis.

Front

If a shape is translated 7 units down, how does this affect its y-coordinates?

Back

All y-coordinates of the shape will decrease by 7.

Front

What is the translation rule for moving a shape 4 units up and 2 units left?

Back

The translation rule is (x - 2, y + 4).