Transformations Review

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure in a straight line from one position to another without changing its shape, size, or orientation.

Front

What does a translation do to an image?

Back

Slides it.

Front

How do you represent a translation algebraically?

Back

(x + a, y + b) where 'a' and 'b' are the horizontal and vertical shifts respectively.

Front

If a point P(x, y) is translated by the vector 〈a, b〉, what are the new coordinates?

Back

(x + a, y + b).

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

What is the difference between a translation and a reflection?

Back

A translation slides a figure, while a reflection flips it over a line.

Front

How can you determine the translation vector from one triangle to another?

Back

By finding the difference in the coordinates of corresponding vertices.

Front

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

Back

A'(3, -1), B'(5, 1), C'(7, 3).

Front

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

Back

The translation vector is (3, 4).

Front

If a square has vertices at P(-2, 1), Q(-2, 4), R(-5, 4), and S(-5, 1), what are the new coordinates of point P after a translation using the vector 〈3, -2〉?

Back

(1, -1).