Translations

Front

What is a translation in geometry?

Back

A translation is a geometric transformation that moves every point of a shape or object a certain distance in a specified direction.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x + a, y + b), where (a, b) are the horizontal and vertical shifts, respectively.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What does it mean to translate a shape 'up'?

Back

Translating a shape 'up' means increasing the y-coordinate of each point of the shape.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What does it mean to translate a shape 'down'?

Back

Translating a shape 'down' means decreasing the y-coordinate of each point of the shape.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What does it mean to translate a shape 'left'?

Back

Translating a shape 'left' means decreasing the x-coordinate of each point of the shape.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What does it mean to translate a shape 'right'?

Back

Translating a shape 'right' means increasing the x-coordinate of each point of the shape.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If a point X has coordinates (3, 5), where will it be after translating 2 units left and 3 units down?

Back

The new coordinates will be (1, 2).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you find the new coordinates after a translation?

Back

To find the new coordinates, add the translation values to the original coordinates: (x + a, y + b).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the effect of translating a triangle on its size and shape?

Back

Translating a triangle does not change its size or shape; it only changes its position.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If triangle ABC is translated down 9 and right 4, what are the new coordinates of point A if A is at (2, 3)?

Back

The new coordinates of point A will be (6, -6).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3