This document contains 7 problems involving 2-D transformations of geometric shapes including scaling, rotation, translation, reflection, shearing, and coordinate system changes. The problems involve finding new vertex coordinates after transformations like rotating a triangle 30 degrees about a given point, translating and rotating a triangle in different orders, reflecting a figure across a line and shearing it, and converting between coordinate systems. Original and transformed diagrams are required for each problem.

1. ASSIGNMENT-1 TWO –D TRANSFORMATION
AssignedDate : 23-07-14
Submission Date : 30-07-14
NOTE: For all the below given problem Original and Final position
diagram is necessary
1. Scale a square at [(2, 2), (6, 6)] along one of its diagonal and find the new
vertices.
2. Perform a clockwise 30 degree rotation of a triangle A (2, 3), B (5, 5),
C(4,3) about the point (1,1)
3. Find a transformation of triangle A (1, 0), B (0, 1), C (1, 1) by
a) Rotating 30 degree about the origin and then translating one unit in
x and y direction.
b) Translating one unit in x and y direction and then rotating 30 degree
about the origin.
4. Represent a triangle at [(3, 3), (5, 6) , (7,3) ] in a new coordinate system
with origin at (3,3) and its x-axis making an angle +45 degree with the
x-direction of the base coordinate system.
5. Find out the co-ordinate of a figure bounded by (0,0) , (1,5) , (6,3) (-3,-4)
when reflected along the line whose equation is y=1 (x+5) and sheared
by 2 units in x –direction and 2 units in y-direction.
6. Compute the new reflected coordinates of a point (-4,-4), when reflected
with respect to a line that passes through (-4, 0) and (0,-4)
7. For a point (2, 4) in a window at [(1, 1), (5, 5)], find the equivalent point
in the View Port at [(1, 1), (5, 10)].