Translations and Reflections Review

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure 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 mathematically?

Back

A translation can be described using a rule such as (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does the rule (x + 2, y - 6) indicate?

Back

This rule indicates a translation 2 units to the right and 6 units down.

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 figure over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic notation for reflecting over the x-axis?

Back

The algebraic notation is (x, y) → (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of the origin in the coordinate plane?

Back

The coordinates of the origin are (0, 0).

Tags

CCSS.5.G.A.1

Front

What transformation is represented by (x, y) → (x + 2, y - 3)?

Back

This transformation is a translation 2 units to the right and 3 units down.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection across the y-axis?

Back

A reflection across the y-axis changes the sign of the x-coordinate: (x, y) → (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How can you identify a translation on a graph?

Back

A translation can be identified by observing that the shape and size of the figure remain the same, but its position changes.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between a translation and a rotation?

Back

A translation moves a figure without changing its orientation, while a rotation turns a figure around a fixed point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5