Translations

Front

What is a translation in geometry?

Back

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

Front

If a point A is at (2, 3) and is translated by (x, y) --> (x + 4, y - 1), where will point A' be?

Back

Point A' will be at (6, 2).

Front

What does the notation (x + a, y + b) represent in translations?

Back

It represents a translation of a point (x, y) by 'a' units horizontally and 'b' units vertically.

Front

How do you translate a point 5 units left and 3 units up?

Back

The translation rule is (x, y) --> (x - 5, y + 3).

Front

What is the effect of the translation (x, y) --> (x + 2, y)?

Back

This translation moves the point 2 units to the right, with no vertical change.

Front

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

Back

The new coordinates will be (0, 4), (2, 6), and (4, 8).

Front

What is the translation rule for moving a shape 3 units down and 2 units left?

Back

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

Front

If a triangle is translated according to the rule (x + 1, y - 4), what direction is it moving?

Back

The triangle is moving 1 unit to the right and 4 units down.

Front

What is the result of translating the point (0, 0) by (x, y) --> (x + 3, y + 5)?

Back

The result will be the point (3, 5).

Front

How do you express a translation that moves a point 7 units up?

Back

The translation can be expressed as (x, y) --> (x, y + 7).