Translations

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point 3 units to the left?

Back

To translate a point 3 units to the left, subtract 3 from the x-coordinate of the point.

Front

What does it mean for figures to be congruent?

Back

Congruent figures are shapes that have the same size and shape, meaning they can be superimposed on each other.

Front

If point A is at (2, 3), where will it be after translating 2 units down?

Back

Point A will be at (2, 1) after translating 2 units down.

Front

What is the result of translating a shape 5 units to the right and 2 units up?

Back

The shape will move 5 units to the right and 2 units up from its original position.

Front

How do you find the new coordinates after a translation?

Back

Add or subtract the translation values from the original coordinates. For example, for a translation of (x, y) to (x+a, y+b), add 'a' to the x-coordinate and 'b' to the y-coordinate.

Front

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

Back

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

Front

If point B is at (4, -1) and is translated 3 units left and 4 units down, what are the new coordinates?

Back

The new coordinates of point B will be (1, -5).

Front

What is the translation vector for moving a shape 5 units right and 2 units down?

Back

The translation vector is (5, -2).

Front

If a shape is translated 3 units left and 3 units down, what is the translation rule?

Back

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