translations and reflections review

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x, y) -> (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does the notation (x, y) -> (x - 9, y + 8) indicate?

Back

This indicates a translation 9 units to the left and 8 units up.

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

What happens to the coordinates of a point (x, y) when reflected over the x-axis?

Back

The coordinates become (x, -y).

Front

What happens to the coordinates of a point (x, y) when reflected over the y-axis?

Back

The coordinates become (-x, y).

Front

If a shape is translated 5 units right and 2 units down, how is this represented?

Back

This is represented as (x, y) -> (x + 5, y - 2).

Front

What is the effect of translating a shape 3 units up?

Back

The shape's y-coordinates increase by 3, represented as (x, y) -> (x, y + 3).

Front

How do you determine the translation needed to move shape B to shape A?

Back

Identify the horizontal and vertical distances between the corresponding points of shapes A and B.

Front

What is the rule for translating a point 2 units left and 3 units up?

Back

The rule is (x, y) -> (x - 2, y + 3).