Sequence of Transformations

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation?

Back

A translation is a type of transformation that slides a shape from one position to another without changing its size, shape, or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection?

Back

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

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, known as the center of rotation, by a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

A 90-degree clockwise rotation transforms the point (x, y) to (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a shape over the x-axis?

Back

Reflecting a shape over the x-axis changes the y-coordinates of its points to their opposites, resulting in (x, y) becoming (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a shape over the y-axis?

Back

Reflecting a shape over the y-axis changes the x-coordinates of its points to their opposites, resulting in (x, y) becoming (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the sequence of transformations?

Back

The sequence of transformations refers to the specific order in which multiple transformations are applied to a shape.

Tags

CCSS.8.G.A.3

Front

How does the order of transformations affect the final image?

Back

The order of transformations can significantly affect the final image; different sequences can lead to different results.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between a rigid transformation and a non-rigid transformation?

Back

A rigid transformation preserves the shape and size of a figure (e.g., translation, rotation, reflection), while a non-rigid transformation may change the size or shape (e.g., dilation).

Tags

CCSS.HSG.CO.A.2