Question

1. find the reflection of any arbotrary shape (2D) with respect to the line y=mx+b {hint: the firts transformation should be translating the line to the origin}.

2. the next 3d object has the following vertices:

A=[3 5 3], B=[7 5 3], C=[7 5 5], D=[3 5 5], E=[3 6 5], F=[3 6 3]

rotate the 3d objwct by 30 degrees in clockwise direction at point D about the x-axis and then do a uniform 1.5 scale.

Answer 1

ans: A transformation sequence for obtaining the composite matrix for reflection about a given
line is:
(1) Translate the line so that it passes through the coordinate origin. Since parameter
b is the value for the y-axis intersection, the translation parameters are tx = 0 and
ty = ?b.
(2) Rotate the line onto the x axis. A horizontal line is already on the x axis, and
a vertical line is perpendicular to the x axis (a 90