Reflections and Translations

Front

What is a translation in geometry?

Back

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

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.

Front

What does it mean to reflect a shape across the x-axis?

Back

Reflecting a shape across the x-axis means that for every point (x, y) in the shape, the reflected point will be (x, -y).

Front

What are the coordinates of a point after reflecting (3, 4) across the x-axis?

Back

The coordinates after reflection will be (3, -4).

Front

What is the rule for translating a shape 5 units to the right and 2 units down?

Back

The rule is (x + 5, y - 2).

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), what are the new coordinates after translating it 3 units left and 1 unit up?

Back

The new coordinates will be (-2, 3), (0, 5), and (2, 7).

Front

What is the effect of reflecting a shape across the y-axis?

Back

Reflecting a shape across the y-axis means that for every point (x, y), the reflected point will be (-x, y).

Front

How do you find the coordinates of a point after a translation?

Back

To find the new coordinates after a translation, add the translation values to the original coordinates.

Front

What is the difference between a reflection and a translation?

Back

A reflection flips a shape over a line, while a translation slides a shape without changing its orientation.

Front

If a point (4, 5) is reflected across the line y = 3, what are the new coordinates?

Back

The new coordinates will be (4, 1).