Transformations Review

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

What does it mean to translate a point?

Back

To translate a point means to slide it from one position to another without changing its orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a reflection over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 180° rotation about the origin on a point (x, y)?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 270° counterclockwise rotation on a point (x, y)?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a dilation transformation do?

Back

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

Tags

CCSS.8.G.A.3

Front

What is the formula for translating a point (x, y) right by 2 and down by 3?

Back

The new point will be (x + 2, y - 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the definition of a reflection?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5