Reflection Rule Calculator

Enter any two coordinates (original or reflected) to calculate the missing values based on the reflection rule.

The Reflection Rule Calculator determines the reflected coordinates of a point across the origin or helps deduce the original coordinates from the reflected ones. This tool simplifies the reflection process in geometry, particularly for Cartesian coordinates, making it ideal for academic, architectural, and engineering applications.

Formula

Reflection of X-coordinate
$X_{\text{reflected}} = -X_{\text{original}}$
Reflection of Y-coordinate

$Y_{\text{reflected}} = -Y_{\text{original}}$

Variable	Description	Example Value
$X_{\text{original}}$	Original X-coordinate	5
$Y_{\text{original}}$	Original Y-coordinate	-3
$X_{\text{reflected}}$	Reflected X-coordinate	-5
$Y_{\text{reflected}}$	Reflected Y-coordinate	3

Solved Calculations

Example 1:
Calculate the reflected point:

Original point: $(4, -6)$

Input	Value
Original X-coordinate	$4$
Original Y-coordinate	$-6$
Formula	$X_{\text{reflected}} = -X_{\text{original}}$
Result	$X_{\text{reflected}}$

Example 2:
Calculate the original point:

Reflected point: $(-7, 9)$

Input	Value
Reflected X-coordinate	$-7$
Reflected Y-coordinate	$9$
Formula	$X_{\text{original}} = -X_{\text{ref$
Result	$X_{\text{or$

More Calculators