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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you describe a translation?

Back

A translation can be described using a vector, which indicates the direction and distance of the movement.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does the vector (4, 1) represent in a translation?

Back

The vector (4, 1) represents a translation of 4 units to the right and 1 unit up.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a shape is translated 3 units left and 2 units down, what is the vector representation?

Back

The vector representation is (-3, -2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you find the new coordinates after a translation?

Back

To find the new coordinates, add the translation vector to the original coordinates.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of translating the point (2, 3) by the vector (4, -1)?

Back

The new coordinates will be (2+4, 3-1) = (6, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of translating a shape on its size and orientation?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A is at (1, 2) and is translated 3 units right and 4 units up, where is point A' located?

Back

Point A' will be at (1+3, 2+4) = (4, 6).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the translation vector for moving a shape 5 units left and 3 units up?

Back

The translation vector is (-5, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a shape on a coordinate plane?

Back

To translate a shape, move each vertex of the shape according to the translation vector.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5