Transformations (Translations, Rotations & Reflections)

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 three main types of transformations?

Back

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

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 the same 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, by a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does counter-clockwise mean in terms of rotation?

Back

Counter-clockwise means rotating in the opposite direction to the movement of the hands of a clock.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a 90-degree counter-clockwise rotation about the origin?

Back

To perform a 90-degree counter-clockwise rotation about the origin, switch the x and y coordinates of a point and change the sign of the new x coordinate.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

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 translate a point (x, y) 3 units left and 2 units up?

Back

To translate the point (x, y) 3 units left and 2 units up, the new coordinates will be (x-3, y+2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting a point (a, b) over the x-axis?

Back

The result of reflecting a point (a, b) over the x-axis is (a, -b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5