Translations

Front

What is a translation in geometry?

Back

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

Front

Translations are always _______

Back

Congruent

Front

How do you translate a shape 5 units to the right and 2 units down?

Back

You add 5 to the x-coordinate and subtract 2 from the y-coordinate.

Front

What are the new coordinates of point M (-3, 5) after translating it using the rule (x, y) --> (x - 1, y)?

Back

(-4, 5)

Front

What does the translation rule (x, y) --> (x + 2, y - 3) indicate?

Back

It indicates a slide right 2 units and down 3 units.

Front

If trapezoid ABCD is translated to trapezoid A'B'C'D', what does it mean?

Back

It means that trapezoid ABCD has been moved to a new position without changing its shape or size.

Front

What is the effect of a translation on the size and shape of a figure?

Back

A translation does not change the size or shape of a figure; it only changes its position.

Front

How do you determine the direction of a translation?

Back

The direction of a translation is determined by the changes in the x and y coordinates.

Front

What is the translation vector for moving a point from (2, 3) to (5, 1)?

Back

The translation vector is (3, -2).

Front

If a point is translated 4 units left and 3 units up, what is the translation rule?

Back

The translation rule is (x, y) --> (x - 4, y + 3).