Reflections

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate: the new point is (-x, y).

Front

What is the result of reflecting the point (3, 4) over the y-axis?

Back

The result is (-3, 4).

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate: the new point is (x, -y).

Front

What is the result of reflecting the point (-2, 5) over the x-axis?

Back

The result is (-2, -5).

Front

What does it mean to reflect a shape over a line?

Back

Reflecting a shape over a line means creating a mirror image of the shape across that line.

Front

If a shape is reflected over the y-axis, what happens to its coordinates?

Back

The x-coordinates of all points in the shape change sign, while the y-coordinates remain the same.

Front

If a shape is reflected over the x-axis, what happens to its coordinates?

Back

The y-coordinates of all points in the shape change sign, while the x-coordinates remain the same.

Front

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

Back

The reflection of the point (0, 0) over any axis is still (0, 0).

Front

What is the reflection of the point (4, -3) over the y-axis?

Back

The reflection is (-4, -3).