Geometry Transformations

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 is the rule for translating a point (x, y) to the right by 2 units and down by 1 unit?

Back

(x + 2, y - 1)

Front

What does a 90° clockwise rotation do to the coordinates of a point (x, y)?

Back

It transforms the point to (y, -x).

Front

What is the effect of reflecting a point across the x-axis?

Back

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

Front

What is the effect of reflecting a point across the y-axis?

Back

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

Front

What is a 180° rotation about the origin?

Back

It transforms a point (x, y) to (-x, -y).

Front

If a point (3, 4) is translated 5 units left and 2 units up, what are the new coordinates?

Back

(-2, 6)

Front

What is the transformation that maps triangle ABC to triangle A'B'C' if A' is directly above A?

Back

Reflection across the x-axis.

Front

How do you apply the rule (x, y) → (y, -x) to the point (2, 3)?

Back

The new point is (3, -2).

Front

What is the definition of a reflection in geometry?

Back

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