Unit 4 Transformations, 2022-23

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

How do you reflect a point over the line y = x?

Back

To reflect a point (x, y) over the line y = x, swap the coordinates to get (y, x).

Front

What is the result of reflecting the point C(-6, 2) over the line y = x?

Back

The reflected point C' is (2, -6).

Front

What is the rule for rotating a point 90 degrees counterclockwise?

Back

The rule is (x, y) → (-y, x).

Front

What is the result of rotating the point (3, -5) 270 degrees clockwise?

Back

The new point is (5, 3).

Front

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

Back

The x-coordinate changes sign, so (x, y) becomes (-x, y).

Front

What is the result of reflecting the point (-5, 2) over the y-axis?

Back

The new point is (5, 2).

Front

What is the transformation rule for a 180-degree rotation?

Back

The rule is (x, y) → (-x, -y).

Front

How do you apply the transformation rule (x, y) → (y, -x) to the point (-5, 6)?

Back

The new point is (6, -5).

Front

What is the effect of a translation on a point?

Back

A translation moves a point a certain distance in a specified direction without changing its orientation.