8.10A Translation Rules

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you represent a translation mathematically?

Back

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

Front

If a point is at (3, 4) and is translated 2 units left and 3 units down, what is its new location?

Back

(1, 1)

Front

What does the translation rule (x + 5, y - 2) indicate?

Back

It indicates to move 5 units to the right and 2 units down.

Front

What is the effect of the translation (x, y) → (x, y + 6)?

Back

This translation moves the point 6 units up.

Front

If triangle A has vertices at (1, 2), (3, 4), and (5, 6), what are the new coordinates after a translation of (x - 2, y + 3)?

Back

The new vertices will be (-1, 5), (1, 7), and (3, 9).

Front

What does the transformation (x - 4, y + 1) do to a point?

Back

It moves the point 4 units to the left and 1 unit up.

Front

How do you find the new coordinates of a point after a translation?

Back

Add the translation values to the original coordinates: New x = original x + a, New y = original y + b.

Front

What is the translation rule for moving a point 3 units right and 2 units down?

Back

(x, y) → (x + 3, y - 2)