Translations and Reflections

Front

What is a translation in geometry?

Back

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

Front

How do you express a translation using arrow notation?

Back

Arrow notation expresses a translation as (x, y) --> (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What is the effect of translating a point (x, y) by (2, -3)?

Back

The point moves 2 units to the right and 3 units down, resulting in the new point (x + 2, y - 3).

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point becomes (x, -y).

Front

What is the reflection of the point (6, -3) over the x-axis?

Back

The reflection is (6, 3).

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new point becomes (-x, y).

Front

What is the reflection of the point (3, -4) over the line y=2?

Back

The reflection is (3, 8).

Front

What is the formula for translating a shape 6 units right and 5 units up?

Back

The translation is expressed as (x, y) --> (x + 6, y + 5).

Front

What does the notation (x, y) --> (x - 6, y + 8) represent?

Back

This notation represents a translation of the shape 6 units left and 8 units up.