Coordinate Rules for Reflections

Vocabulary flashcards covering the coordinate rules and graphical representations for reflections across the x-axis, y-axis, and the lines y = x and y = -x.

Reflection in the $x$-axis

A coordinate transformation where a point $(a, b)$ is reflected across the $x$-axis to the image point $(a, -b)$.

Reflection in the $y$-axis

A coordinate transformation where a point $(a, b)$ is reflected across the $y$-axis to the image point $(-a, b)$.

Reflection in the line $y = x$

A coordinate transformation where a point $(a, b)$ is reflected across the line $y = x$ to the image point $(b, a)$.

Reflection in the line $y = -x$

A coordinate transformation where a point $(a, b)$ is reflected across the line $y = -x$ to the image point $(-b, -a)$.

The graphical representation showing segment $\overline{FG}$ reflected across the diagonal line $y = -x$ to form the image segment $\overline{F'G'}$.