Transformations

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, called the image.

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

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 it mean to reflect a shape?

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

How do you perform a 90° counterclockwise rotation about the origin?

Back

To perform a 90° counterclockwise rotation about the origin, switch the x and y coordinates of each point and change the sign of the new x coordinate.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for translating a point (x, y) 2 units left and 3 units up?

Back

The rule is (x, y) → (x - 2, y + 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection across the x-axis on a point (x, y)?

Back

The effect of a reflection across the x-axis on a point (x, y) is (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection across the y-axis on a point (x, y)?

Back

The effect of a reflection across the y-axis on a point (x, y) is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you find the image of a point after a transformation?

Back

To find the image of a point after a transformation, apply the transformation rule to the coordinates of the original point.

Tags

CCSS.HSG.CO.A.2