Determine the form of the matrix for reflection:

Explain the transformation MK of a object around a link K which makes an angle φ with x-axis. It contain slope m and y intercept as (0, C) with y-axis as shown in figure

Solution

Consider the line K in Figure have an angle of inclination φ (R. T. X - axis), slope m and a y intercept (0, C). Determine the form of the matrix for reflection around line K.

Figure 

Solution

Slope =  tan φ= dy /dx

dy = oc

dx = ob

bc²= oc² + ob²

= bc/ ob =  1 / cos φ=

tan φ= sin φ  / cos φ = m

sin φ= m × cos φ =   

             tan φ = m