geometric transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation in geometry?

Back

A translation is a type of transformation that slides a shape from one position to another without rotating or flipping it.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a dilation with a scale factor of 0.5 do to a shape?

Back

A dilation with a scale factor of 0.5 reduces the size of the shape to half its original dimensions.

Tags

CCSS.8.G.A.3

Front

How do you represent a translation of 8 units down and 2 units to the right algebraically?

Back

The translation can be represented as (x,y) --> (x + 2, y - 8).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic representation of a 270° clockwise rotation?

Back

The algebraic representation of a 270° clockwise rotation is (x,y) --> (-y,x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you represent a reflection over the x-axis algebraically?

Back

A reflection over the x-axis can be represented as (x,y) --> (x,-y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a dilation with a scale factor greater than 1?

Back

A dilation with a scale factor greater than 1 enlarges the shape, making it larger than its original size.

Tags

CCSS.8.G.A.3

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a shape around a point, while a reflection flips it over a line.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you represent a translation of 6 units to the left and 4 units up algebraically?

Back

The translation can be represented as (x,y) --> (x - 6, y + 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5