Reflections on the Coordinate Plane

Front

What is a reflection in the context of the coordinate plane?

Back

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

Front

What line is commonly used for reflection in the coordinate plane?

Back

The x-axis and y-axis are commonly used lines for reflection in the coordinate plane.

Front

How does reflecting a point across the y-axis affect its coordinates?

Back

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

Front

If a point G is at (3, -2), what are its coordinates after reflecting across the y-axis?

Back

The coordinates after reflection are (-3, -2).

Front

What happens to the y-coordinate when a point is reflected over the x-axis?

Back

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

Front

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

Back

The reflection is F' (3, -4).

Front

What is the general rule for reflecting a point (x, y) over the y-axis?

Back

The reflected point is (-x, y).

Front

What is the general rule for reflecting a point (x, y) over the x-axis?

Back

The reflected point is (x, -y).

Front

What is the effect of reflecting a shape over the x-axis?

Back

The shape is flipped vertically, with all points moving to their corresponding positions on the opposite side of the x-axis.

Front

What is the effect of reflecting a shape over the y-axis?

Back

The shape is flipped horizontally, with all points moving to their corresponding positions on the opposite side of the y-axis.