Coordinate Plane Reflections

Front

What is the result of reflecting a point (x, y) over the x-axis?

Back

The reflected point is (x, -y).

Front

What is the result of reflecting a point (x, y) over the y-axis?

Back

The reflected point is (-x, y).

Front

If point A is at (4, 2), what is the reflected point A' over the x-axis?

Back

A' is (4, -2).

Front

If point A is at (4, 2), what is the reflected point A' over the y-axis?

Back

A' is (-4, 2).

Front

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

Back

The y-coordinate changes its sign.

Front

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

Back

The x-coordinate changes its sign.

Front

In which quadrant does the point (4, -2) lie?

Back

Quadrant IV (QIV).

Front

If point A is at (-6, -1) and is reflected across the x-axis, what is the new point?

Back

The new point is (-6, 1).

Front

What are the new coordinates of triangle ABC with points A(2, 3), B(5, 4), C(2, 4) after reflecting over the x-axis?

Back

A' (2, -3), B' (5, -4), C' (2, -4).

Front

What is the definition of a reflection in geometry?

Back

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