Transformations - Compositions WHS

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation?

Back

A translation moves every point of a shape the same distance in the same direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a rotation?

Back

A rotation turns a shape around a fixed point, called the center of rotation, by a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is dilation?

Back

Dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

Tags

CCSS.8.G.A.3

Front

What happens when you reflect a shape over the x-axis?

Back

The y-coordinates of the points of the shape change sign.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens when you reflect a shape over the y-axis?

Back

The x-coordinates of the points of the shape change sign.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of a double reflection over two parallel lines?

Back

A double reflection over two parallel lines results in a translation.

Tags

CCSS.8.G.A.3

Front

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

Back

The new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5