Translations On The Coordinate Plane

Front

What is a translation in the context of the coordinate plane?

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 represent a translation mathematically?

Back

A translation can be represented as (x, y) -> (x + a, y + b), where 'a' is the movement in the x-direction and 'b' is the movement in the y-direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point is translated +5 in the x-direction, what happens to its x-coordinate?

Back

The x-coordinate increases by 5.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point is translated -3 in the y-direction, what happens to its y-coordinate?

Back

The y-coordinate decreases by 3.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the new coordinates of point (2, 3) after a translation of +4 in the x-direction and -2 in the y-direction?

Back

(6, 1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you find the new position of a point after translation?

Back

Add the translation values to the original coordinates: New x = original x + translation in x, New y = original y + translation in y.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to translate a shape on the coordinate plane?

Back

It means to move the entire shape to a new location without changing its size, shape, or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A at (1, 2) is translated to point B at (4, 5), what is the translation vector?

Back

The translation vector is (+3, +3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of translating a shape +0 in the x-direction and -5 in the y-direction?

Back

The shape moves down 5 units without changing its horizontal position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If triangle A is translated +10 in the x-direction and -3 in the y-direction, what are the new coordinates of point (2, 3)?

Back

(12, 0)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5