Translations & Reflections

Front

What is a translation in geometry?

Back

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

Front

How do you express a translation algebraically?

Back

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

Front

What does it mean to translate a shape 5 units right and 2 units down?

Back

It means to move the shape 5 units to the right on the x-axis and 2 units down on the y-axis.

Front

If a triangle is translated using the rule (x, y) --> (x + 3, y - 4), what is the new position of the point (2, 1)?

Back

The new position will be (2 + 3, 1 - 4) = (5, -3).

Front

What is the effect of translating a shape 0 units horizontally and 4 units vertically?

Back

The shape will move straight up by 4 units without any horizontal movement.

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 express a reflection over the x-axis algebraically?

Back

A reflection over the x-axis can be expressed as (x, y) --> (x, -y).

Front

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

Back

The coordinates change to (-x, y).

Front

If a shape is reflected over the line y = x, what happens to the coordinates (a, b)?

Back

The coordinates become (b, a).

Front

What is the difference between translation and reflection?

Back

Translation moves a shape without changing its orientation, while reflection flips a shape over a line, changing its orientation.