Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean for a transformation to preserve congruence?

Back

A transformation preserves congruence if the original shape and the transformed shape are identical in size and shape.

Tags

CCSS.HSG.CO.A.2

Front

What does it mean for a transformation to preserve orientation?

Back

A transformation preserves orientation if the order of points in the shape remains the same after the transformation.

Tags

CCSS.HSG.CO.A.2

Front

What is a reflection?

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

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point at a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation?

Back

A translation is a transformation that slides a shape in a straight line from one position to another without changing its size or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Tags

CCSS.8.G.A.3

Front

What is the result of reflecting a shape across the x-axis?

Back

The y-coordinates of the points of the shape change sign, while the x-coordinates remain the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting a shape across the y-axis?

Back

The x-coordinates of the points of the shape change sign, while the y-coordinates remain the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5