Reflections

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 happens to the coordinates of a point (x, y) when it is reflected over the x-axis?

Back

The coordinates become (x, -y).

Front

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

Back

The coordinates become (-x, y).

Front

Reflect the point (3, 4) over the x-axis.

Back

(3, -4)

Front

Reflect the point (-5, 2) over the y-axis.

Back

(5, 2)

Front

What is the result of reflecting the point (0, 0) over any axis?

Back

(0, 0) - The origin remains unchanged.

Front

If a triangle has vertices A(1, 2), B(3, 4), and C(5, 6), what are the coordinates of A' after reflecting over the y-axis?

Back

A'(-1, 2)