reflections in the coordinate plane

Front

What is a reflection in the coordinate plane?

Back

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

Front

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

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

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

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

If the point (a, b) is reflected over the x-axis, what is the image?

Back

The image is (a, -b).

Front

If the point (a, b) is reflected over the y-axis, what is the image?

Back

The image is (-a, b).

Front

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

Back

The result is (3, -4).

Front

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

Back

The result is (2, 5).

Front

What does reflecting a point over the y-axis do to its x-coordinate?

Back

It changes the sign of the x-coordinate.

Front

What does reflecting a point over the x-axis do to its y-coordinate?

Back

It changes the sign of the y-coordinate.

Front

If a point lies on the x-axis, what happens to it when reflected over the x-axis?

Back

It remains in the same position because its y-coordinate is zero.