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

When a point (x, y) is reflected over the x-axis, what are the new coordinates?

Back

(x, -y)

Front

When a point (x, y) is reflected over the y-axis, what are the new coordinates?

Back

(-x, y)

Front

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

Back

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

Front

What is the line of symmetry?

Back

A line of symmetry is a line that divides a figure into two mirror-image halves.

Front

True or False: A reflection across the x-axis changes the y-coordinate of a point.

Back

True

Front

If point A(3, 4) is reflected over the y-axis, what are the coordinates of A'?

Back

A'(-3, 4)

Front

If point B(-2, 5) is reflected over the x-axis, what are the coordinates of B'?

Back

B'(-2, -5)

Front

What is the result of reflecting a point across its own line of symmetry?

Back

The point remains unchanged.

Front

If a point is reflected over the x-axis and then over the y-axis, what is the final position of the point (x, y)?

Back

(-x, -y)