Transformations - Translation & Reflection

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What is a translation?

Back

A translation is a type of transformation that slides a shape a certain distance in a specified direction.

Front

What is the rule for translating a point (x, y) to the right by 4 units and down by 1 unit?

Back

(x + 4, y - 1) is the rule for this translation.

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 is the line of reflection for the transformation of a point (x, y) across the line x = 2?

Back

The line of reflection is vertical and located at x = 2.

Front

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

Back

The coordinates change to (x, -y) when reflected over the x-axis.

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) when reflected over the y-axis.

Front

Which transformation is described as 'flipping' a shape?

Back

Reflection is the transformation that 'flips' a shape.

Front

What is the effect of reflecting a point across the line y = 2?

Back

The y-coordinate of the point is adjusted to maintain the same distance from the line y = 2.

Front

If a point (3, 4) is translated using the rule (x - 5, y + 1), what are the new coordinates?

Back

The new coordinates are (-2, 5).