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.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x, y) -> (x + a, y + b), where 'a' and 'b' are the distances moved in the x and y directions, respectively.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What does the transformation (x, y) -> (x, y - 3) indicate?

Back

It indicates a translation downward by 3 units.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

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

Back

A translation does not change the size or shape of a figure; it is congruent to the original.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the term for the figure before a transformation?

Back

Pre-image.

Tags

CCSS.HSG.CO.A.2

Front

What is the term for the figure after a transformation?

Back

Image.

Tags

CCSS.HSG.CO.A.2

Front

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

Back

They are congruent.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What does a translation do to the coordinates of a point?

Back

It adds specific values to the x and y coordinates based on the translation vector.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the translation vector for moving a point 5 units right and 2 units up?

Back

The translation vector is (5, 2).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If a point (3, 4) is translated using the vector (2, -1), what are the new coordinates?

Back

The new coordinates are (5, 3).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3