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Again, take the square vertices listed below and apply a formulated transformati

ID: 2208823 • Letter: A

Question

Again, take the square vertices listed below and apply a formulated transformation matrix to make it .5 times larger in the x-direction and .2 larger in the y-direction. Show the new position of each vertex. Then apply a simple inverse matrix to undo the scaling that will return the square back to its original vertices. Show the position of the vertices after the transformation has been applied as well.
o Vertex A (50, 50)
o Vertex B (90, 50)
o Vertex C (90, 90)
o Vertex D(50, 90)
o Again, you should use the following to calculate the new position of each vertex:

[ X New Pos [ dx 0 0 [ X Old Pos
Y New Pos 0 dx 0 Y Old Pos
1 ] = 0 0 1 ] 1 ]


Where dx = value to scale by in x dimension
Where dy = value to scale by in y dimension

Explanation / Answer

Transformation matrix T = 0.5 0 0 0 0.2 0 0 0 VT is new vertex matrix.. and V is old vertex matrix