Translations

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a shape or object 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 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 3 units to the right and 2 units up, what is the new point?

Back

The new point will be (x + 3, y + 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does the translation rule (x, y) -> (x - 5, y) indicate?

Back

This rule indicates a translation 5 units to the left, keeping the y-coordinate the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A(2, 3) is translated using the rule (x, y) -> (x + 4, y - 1), what are the coordinates of A'?

Back

The coordinates of A' will be (6, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of the translation rule (x, y) -> (x, y + 4)?

Back

This rule translates a point 4 units up.

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, apply the translation rule to the original coordinates by adding or subtracting the specified values.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point B(1, 1) is translated 2 units to the right and 3 units down, what are the new coordinates?

Back

The new coordinates will be (3, -2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to translate a shape?

Back

Translating a shape means moving it to a different location without changing its size, shape, or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point C(-2, 4) is translated 1 unit to the left and 5 units down, what are the coordinates of C'?

Back

The coordinates of C' will be (-3, -1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5