Reflections, Translations, Rotations, Composition Transformation

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for reflecting a point (x, y) over the y-axis?

Back

The rule is (x, y) → (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation in geometry?

Back

A translation is a transformation that moves a figure from one location to another without changing its shape or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic rule for translating a point 5 units to the right?

Back

The rule is (x, y) → (x + 5, y).

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 figure around a fixed point at a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for a 90-degree counterclockwise rotation of a point (x, y)?

Back

The rule is (x, y) → (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between a reflection and a rotation?

Back

A reflection flips a figure over a line, while a rotation turns a figure around a point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a glide reflection?

Back

A glide reflection is a transformation that combines a translation and a reflection.

Tags

CCSS.8.G.A.3

Front

How do you reflect a point (2, -4) over the y-axis?

Back

The image is (-2, -4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the image of the point (-2, 5) reflected over the line x = 1?

Back

The image is (4, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5