Reflections Flashcard

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

What is the line of reflection for a reflection over the x-axis?

Back

The line of reflection is the x-axis itself, where the y-coordinates of points are inverted.

Front

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

Back

The x-coordinate changes sign, while the y-coordinate remains the same. For example, (x, y) becomes (-x, y).

Front

What is another name for reflection?

Back

Flip.

Front

How do you reflect a point (a, b) over the x-axis?

Back

The new coordinates will be (a, -b).

Front

How do you reflect a point (a, b) over the y-axis?

Back

The new coordinates will be (-a, b).

Front

What is the effect of reflecting a point over the origin?

Back

The coordinates change signs: (a, b) becomes (-a, -b).

Front

If point K is at (5, -3), what are the coordinates after reflecting over the x-axis?

Back

The new coordinates will be (5, 3).

Front

If point M is at (-4, 2), what are the coordinates after reflecting over the y-axis?

Back

The new coordinates will be (4, 2).

Front

What is the equation of the x-axis?

Back

The equation of the x-axis is y = 0.