Transformations

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 algebraically as (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

If a point (x, y) is translated 4 units to the right and 9 units down, what is the new position?

Back

The new position will be (x + 4, y - 9).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does the translation rule (x, y) --> (x + 3, y - 2) indicate?

Back

It indicates that the figure is translated 3 units to the right and 2 units down.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

When translating a point (x - 2, y + 6), how does the figure move?

Back

The figure moves 2 units left and 6 units up.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point T is at (2, -5) and is translated 3 units to the right and 6 units up, what are the coordinates of T'?

Back

The coordinates of T' will be (5, 1).

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

Can a translation be represented using vectors?

Back

Yes, a translation can be represented using vectors, where the vector indicates the direction and distance of the translation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between a translation and a rotation?

Back

A translation moves a figure without changing its orientation, while a rotation turns a figure around a fixed point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the direction of a translation?

Back

The direction of a translation is determined by the values of 'a' and 'b' in the translation rule (x + a, y + b). Positive 'a' indicates right, negative indicates left; positive 'b' indicates up, negative indicates down.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5