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 slides a shape from one position to another without turning it.

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is reflection 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?

Back

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

Tags

CCSS.8.G.A.3

Front

How do you find the scale factor in a dilation?

Back

The scale factor is found by dividing the length of a side of the image by the length of the corresponding side of the original shape.

Tags

CCSS.8.G.A.3

Front

What does the rule (x,y) ⟶ (x,-y) represent?

Back

This rule represents a reflection over the x-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does the rule (x,y) ⟶ (-x,y) represent?

Back

This rule represents a reflection over the y-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The coordinates (x,y) become (-y,x) after a 90-degree counterclockwise rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5