Reflections and Translations ME

Front

What is a translation in geometry?

Back

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

Front

What does the notation (x + a, y + b) represent?

Back

It represents a translation of a point (x, y) by 'a' units horizontally and 'b' units vertically.

Front

How do you describe the translation (x - 3, y + 4)?

Back

It is a translation 3 units to the left and 4 units up.

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection for the point (2, 3) reflected over the y-axis?

Back

The line of reflection is the y-axis, resulting in the point (-2, 3).

Front

If a point (x, y) is reflected over the x-axis, what is the new point?

Back

The new point is (x, -y).

Front

What is the effect of reflecting a point over the line y = x?

Back

The coordinates of the point switch places; (x, y) becomes (y, x).

Front

Describe the transformation (x, y) -> (x + 5, y - 2).

Back

This is a translation 5 units to the right and 2 units down.

Front

What is the rule for reflecting a point (x, y) over the line y = -4?

Back

The new point will be (x, -8 - y).

Front

What does the transformation (x + 2, y) indicate?

Back

It indicates a translation 2 units to the right, with no vertical movement.