Reflection

Front

What is Reflection in Geometry?

Back

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

Front

What is the Algebraic Notation for reflecting a point over the x-axis?

Back

(x, y) → (x, -y)

Front

What is the Algebraic Notation for reflecting a point over the y-axis?

Back

(x, y) → (-x, y)

Front

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

Back

The coordinates become (a, -b).

Front

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

Back

The coordinates become (-a, b).

Front

What is the Algebraic Notation for reflecting a point over the origin?

Back

(x, y) → (-x, -y)

Front

If point A is at (3, 4), what are the coordinates after reflecting over the x-axis?

Back

(3, -4)

Front

If point B is at (-2, 5), what are the coordinates after reflecting over the y-axis?

Back

(2, 5)

Front

What is the effect of reflecting a point over the line y = x?

Back

The coordinates switch places: (x, y) → (y, x).

Front

How do you determine the line of reflection?

Back

The line of reflection is the perpendicular bisector of the segment connecting the original point and its image.