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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a translation do to an image?

Back

Slides it.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you represent a translation algebraically?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

(x + a, y + b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

By finding the difference in the coordinates of corresponding vertices.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The translation vector is (3, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5