Transformations

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.8.G.A.3

CCSS.HSG.CO.A.5

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

Define translation in geometry.

Back

Translation is a transformation that 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 is a transformation that 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 does reflection mean in geometry?

Back

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 dilation in geometry?

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

How do you determine the scale factor in dilation?

Back

The scale factor is determined by the ratio of the lengths of corresponding sides of the original shape and the dilated shape.

Tags

CCSS.8.G.A.3

Front

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

Back

The new coordinates after a 90-degree clockwise rotation are (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

When a point (x, y) is reflected over the y-axis, its new coordinates become (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting a point (x, y) over the x-axis?

Back

The new coordinates after reflecting over the x-axis are (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5