Translations-Math 8

Front

What is a translation in geometry?

Back

A translation is a type of transformation that slides a geometric figure horizontally, vertically, or both without changing its shape or size.

Front

How do you translate a point (x, y) 2 units left and 3 units up?

Back

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

Front

What is the effect of a translation on a geometric figure?

Back

A translation moves the figure to a new location without altering its size, shape, or orientation.

Front

If triangle ABC is translated left 2 units and up 9 units, what are the coordinates of point A' if A is at (3, 4)?

Back

Point A' would be at (1, 13).

Front

What is the translation rule for moving a figure 8 units down and 5 units to the right?

Back

The translation rule is (x, y) → (x + 5, y - 8).

Front

What is the difference between a translation and a rotation?

Back

A translation slides a figure to a new position, while a rotation turns a figure around a fixed point.

Front

Can a translation change the orientation of a geometric figure?

Back

No, a translation does not change the orientation of a geometric figure.

Front

What are the coordinates of point B' if point B is at (2, 3) and it is translated 4 units right and 1 unit down?

Back

Point B' would be at (6, 2).

Front

What is the general form of a translation rule?

Back

The general form is (x, y) → (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

If a figure is translated 10 units to the left, what is the translation rule?

Back

The translation rule is (x, y) → (x - 10, y).