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

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

Back

To reflect a point (x, y) across the x-axis, change the sign of the y-coordinate: (x, y) becomes (x, -y).

Front

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

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate: (x, y) becomes (-x, y).

Front

What is the x-axis?

Back

The x-axis is the horizontal line in a coordinate plane where y=0.

Front

What is the y-axis?

Back

The y-axis is the vertical line in a coordinate plane where x=0.

Front

If point A is (2, 3), what is A' when reflected across the x-axis?

Back

A' is (2, -3).

Front

If point B is (-4, 5), what is B' when reflected across the y-axis?

Back

B' is (4, 5).

Front

What does the ordered pair (x, y) represent?

Back

The ordered pair (x, y) represents a point in a two-dimensional coordinate system, where x is the horizontal position and y is the vertical position.

Front

What is the result of reflecting the point (1, 2) across the line y=x?

Back

The result is (2, 1).

Front

What is the significance of the origin (0, 0) in reflections?

Back

The origin is the point where the x-axis and y-axis intersect, and it serves as a reference point for reflections.