Translations

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

What does the translation rule (x, y) -> (x + a, y + b) represent?

Back

It represents a translation where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

If a point (3, 4) is translated 5 units to the right and 2 units down, what is the new position?

Back

(8, 2) because you add 5 to the x-coordinate and subtract 2 from the y-coordinate.

Front

What does it mean for translations to be congruent?

Back

It means that the original figure and the translated figure are the same size and shape.

Front

How do you write the translation rule for moving a point 4 units left and 3 units up?

Back

(x, y) -> (x - 4, y + 3) because you subtract 4 from the x-coordinate and add 3 to the y-coordinate.

Front

What is the effect of the translation (x, y) -> (x, y - 6)?

Back

It moves the point down 6 units.

Front

If triangle ABC is translated to triangle A'B'C', what can be said about their corresponding sides and angles?

Back

The corresponding sides and angles of triangle ABC and triangle A'B'C' are equal.

Front

What is the translation vector for moving a point from (2, 3) to (5, 7)?

Back

The translation vector is (3, 4) because you add 3 to the x-coordinate and 4 to the y-coordinate.

Front

If a point is translated using the rule (x, y) -> (x + 10, y), what direction is it moving?

Back

It is moving 10 units to the right.

Front

What is the translation of the point (1, 1) using the rule (x, y) -> (x - 2, y + 5)?

Back

The new point is (-1, 6).