Math Transformations

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point (x, y) over the y-axis?

Back

The reflected point is (-x, y).

Front

What is the result of reflecting the point (3, 5) over the x-axis?

Back

The reflected point is (3, -5).

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point.

Front

What is the rule for a 90° clockwise rotation of a point (x, y)?

Back

The new coordinates are (y, -x).

Front

What is the rule for a 90° counterclockwise rotation of a point (x, y)?

Back

The new coordinates are (-y, x).

Front

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

Back

The y-coordinate changes sign, resulting in (x, -y).

Front

What is the transformation from triangle ABC to triangle A'B'C' if A' is the reflection of A across the y-axis?

Back

The transformation is a reflection across the y-axis.

Front

If triangle A is rotated 270° counterclockwise, what is the transformation rule?

Back

The transformation rule is (x, y) → (y, -x).

Front

What is the effect of reflecting a point over the origin?

Back

The coordinates change to (-x, -y).