Transformations: Reflections and Translations

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 result of reflecting a point (x, y) across the x-axis?

Back

The result is (x, -y).

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

The result is (-x, y).

Front

What is a translation in geometry?

Back

A translation is a transformation that moves a figure from one position to another without changing its shape or orientation.

Front

How do you translate a point (x, y) 3 units left and 2 units up?

Back

The new coordinates will be (x-3, y+2).

Front

What are the coordinates of point B(-3, -5) after reflecting over the y-axis?

Back

The coordinates will be B'(3, -5).

Front

What is the algebraic representation of a reflection across the x-axis?

Back

The representation is (x, y) → (x, -y).

Front

What is the algebraic representation of a reflection across the y-axis?

Back

The representation is (x, y) → (-x, y).

Front

If Point X(1, 2) is translated 4 units right and 3 units down, what are the new coordinates?

Back

The new coordinates are (5, -1).

Front

What happens to the coordinates of a point when it is reflected across the line y = x?

Back

The coordinates switch places: (x, y) becomes (y, x).