Reflection Matrix
Definition of Reflection Matrix
- A matrix that is used to reflect an object over a line or plane is called a reflection matrix.
Examples of Reflection Matrix
- The figure below shows the reflection of triangle ABC about the y-axis.
is the reflection matrix for the y-axis.

Solved Example on Reflection Matrix
Find the coordinates of the vertices of the image of triangle ABC with A(1, 3), B(-1, 1), C(3, 1) after a reflection across the y-axis.
Choices:
A. 
B. 
C. 
D. 
Correct Answer: A
Solution:
Step 1: The coordinates of the vertices of triangle ABC are given by A(1, 3), B(-1, 1), C(3, 1).
Step 2: Then multiply the vertex matrix by reflection matrix for the y-axis
= 

Step 3: Therefore, the coordinates of the vertices of
are
.
Related Terms for Reflection Matrix
- Plane
- Line
- Matrix
- Reflection
Additional Links for Reflection Matrix