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.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What are the four main types of transformations?

Back

Translation, Reflection, Rotation, and Dilation.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

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.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

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.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the rule for a translation that moves a point 3 units right and 2 units up?

Back

(x + 3, y + 2) is the rule for this translation.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you identify a reflection across the x-axis?

Back

A reflection across the x-axis changes the y-coordinate of each point to its opposite, (x, y) becomes (x, -y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What does a 90° clockwise rotation do to the coordinates of a point (x, y)?

Back

A 90° clockwise rotation transforms (x, y) to (y, -x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

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

Back

A reflection across the y-axis changes the x-coordinate to its opposite, (x, y) becomes (-x, y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

Define dilation in geometry.

Back

Dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

Tags

CCSS.8.G.A.3