Translations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant 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

If a shape is translated 5 units right and 3 units up, what is the algebraic representation?

Back

(x, y) --> (x + 5, y + 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to translate a shape 6 units left?

Back

It means to move every point of the shape 6 units in the negative x-direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If triangle ABC is translated to triangle A'B'C', what does this indicate?

Back

It indicates that triangle ABC has been moved to a new position without changing its shape or size.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of translating a shape downwards?

Back

Translating a shape downwards means moving it in the negative y-direction.

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 signs of the values in the algebraic representation: positive values indicate right/up, while negative values indicate left/down.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Translate the point (2, 3) 4 units left and 2 units down. What is the new position?

Back

The new position is (-2, 1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the translation of the point (x, y) 8 units right and 4 units up?

Back

(x, y) --> (x + 8, y + 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a shape is translated 3 units down and 5 units left, what is the algebraic representation?

Back

(x, y) --> (x - 5, y - 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5