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