Translations

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a figure the same distance in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you represent a translation algebraically?

Back

A translation can be represented as (x, y) -> (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to slide a figure 3 units up and 2 units right?

Back

It means to move every point of the figure 3 units in the positive y-direction and 2 units in the positive x-direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point X is at (2, 3), where will it be after translating 4 units left and 3 units up?

Back

The new coordinates will be (-2, 6).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for translating a point (x, y) 5 units down?

Back

The rule is (x, y) -> (x, y - 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of translating a figure 0 units horizontally and 4 units vertically?

Back

The figure will move straight up by 4 units without any horizontal movement.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point A is at (1, 1) and is translated 6 units to the right and 2 units down, what are the new coordinates?

Back

The new coordinates will be (7, -1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the translation rule for moving a point 8 units left and 4 units up?

Back

The rule is (x, y) -> (x - 8, y + 4).

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: (x + a, y + b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the shape of a figure during a translation?

Back

The shape and size of the figure remain unchanged during a translation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5