Transformations: Translations, Reflections and Rotations

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 three main types of transformations?

Back

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

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 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

Define 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 does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, but may be in different positions or orientations.

Tags

CCSS.8.G.A.2

Front

How does a translation affect the orientation of a shape?

Back

A translation does not change the orientation of a shape; it simply moves it to a new location.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the orientation of a shape during a reflection?

Back

During a reflection, the orientation of the shape is reversed.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic representation for a translation of 3 units right and 2 units up?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic representation for a rotation of 90 degrees clockwise?

Back

(y, -x) is the algebraic representation for a rotation of 90 degrees clockwise.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5