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Consider a triangle ABC having coordinates A(5, 5), B(8, 5) and C(5, 10). Determine the new vertex position if.

i) The triangle is rotated by 60°, anticlockwise about the vertex A.  ii) The triangle is scale by 2 times in X direction and 3 times in Y direction about vertex A.

Mumbai university > mechanical engineering > sem 7 > cad/cam/cae

Marks: 10M

Year: May 2015

Difficulty: Medium

1 Answer
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A) The triangle is rotated by 60°, anticlockwise about the vertex A. 

Tr = Translate point (-5, -5) to origin O (0, 0)

R = Rotate by 60 deg. Anticlockwise.

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A = (-1.83, 6.83)

B = (-0.33, 9.42)

C = (-6.83, 1.83)

B) The triangle is scale by 2 times in X direction and 3 times in Y direction about vertex A.

Tr = Translate point (-5, -5) to origin O (0, 0)

Sc = scaling in x & y direction.

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A = (10, 15)

B = (16,15)

C = (10,30)

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