Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a shape a certain distance in a specified direction.

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

Explain rotation in geometry.

Back

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 is the rule for translating a point (x, y) by 2 units to the right and 1 unit down?

Back

The rule is (x + 2, y - 1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point (x, y) over the x-axis?

Back

The reflection over the x-axis changes the point to (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when it is rotated 90 degrees counterclockwise around the origin?

Back

The coordinates change to (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting a shape over the y-axis?

Back

The coordinates of each point (x, y) change to (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Describe the sequence of transformations: Reflect over the y-axis, then reflect over the x-axis.

Back

This sequence will result in a shape that is the same as the original shape, as two reflections over perpendicular lines result in a rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of translating a shape 4 units up?

Back

Every point of the shape moves vertically upward by 4 units.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5