Geometry 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 to produce a new shape.

Tags

CCSS.HSG.CO.A.2

Front

What are the four main types of transformations?

Back

The four main types of transformations are translations, rotations, reflections, and dilations.

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 a given 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.

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to dilate a shape?

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 write a translation rule?

Back

A translation rule is written in the form (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (2, 3) is translated 4 units to the right and 2 units up, what is the new point?

Back

The new point is (6, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped to create a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5