Translations

Front

What is translation in geometry?

Back

Translation in geometry refers to moving a shape or object from one location to another without changing its size, shape, or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How does translation affect the coordinates of a point?

Back

When a point is translated, its coordinates change based on the direction and distance of the translation. For example, translating a point (x, y) by (a, b) results in the new coordinates (x+a, y+b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a positive change in the 'y' coordinate indicate during translation?

Back

A positive change in the 'y' coordinate indicates that the object is being moved upwards.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a negative change in the 'y' coordinate indicate during translation?

Back

A negative change in the 'y' coordinate indicates that the object is being moved downwards.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a positive change in the 'x' coordinate indicate during translation?

Back

A positive change in the 'x' coordinate indicates that the object is being moved to the right.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a negative change in the 'x' coordinate indicate during translation?

Back

A negative change in the 'x' coordinate indicates that the object is being moved to the left.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a shape is translated 4 units up, what is the change in the 'y' coordinate?

Back

The change in the 'y' coordinate is +4.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a shape is translated 3 units right and 3 units up, what are the changes in the 'x' and 'y' coordinates?

Back

The change in the 'x' coordinate is +3 and the change in the 'y' coordinate is +3.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the new coordinates of a vertex after translation?

Back

To determine the new coordinates of a vertex after translation, add the translation values to the original coordinates. For example, if the original coordinates are (x, y) and the translation is (a, b), the new coordinates will be (x+a, y+b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of translating a point (2, 3) by (5, 3)?

Back

The new coordinates after translation will be (2+5, 3+3) = (7, 6).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5