Reflections and Translations

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 two main types of transformations?

Back

The two main types of transformations are rigid transformations (which preserve distance and angle) and non-rigid transformations (which do not preserve distance and angle).

Tags

CCSS.HSG.CO.A.2

Front

What is a translation?

Back

A translation is a type of transformation that moves every point of a shape a constant distance in a specified direction.

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 is the line of reflection?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you describe a translation in terms of coordinates?

Back

A translation can be described using a rule that indicates how to change the coordinates of each point, such as (x, y) to (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to reflect a shape over the x-axis?

Back

Reflecting a shape over the x-axis means that for every point (x, y) in the shape, the new point will be (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to reflect a shape over the y-axis?

Back

Reflecting a shape over the y-axis means that for every point (x, y) in the shape, 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 translation on the size and shape of a figure?

Back

A translation does not change the size or shape of a figure; it only changes its position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection on the size and shape of a figure?

Back

A reflection does not change the size or shape of a figure; it only changes its orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5