Exploring Transformations in Geometry

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape the same distance in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you describe a translation of a shape?

Back

A translation can be described using a vector, indicating how far and in which direction the shape moves (e.g., 3 right, 4 up).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point (x,y) 90° counterclockwise?

Back

The rule is (x,y) → (-y,x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point (x,y) 180°?

Back

The rule is (x,y) → (-x,-y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point (x,y) 270° counterclockwise?

Back

The rule is (x,y) → (y,-x).

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 a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Tags

CCSS.8.G.A.3

Front

What are the three main types of transformations in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning one can be transformed into the other through rotations, translations, or reflections.

Tags

CCSS.8.G.A.2