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Reflect the triangle ABC about the line 3x-4y+8=0. The position vector of the coordinate ABC is given as A=(4,1), B=(5,2),C=(4,3). Find the composite transformation matrix and its new coordinates.
written 5.6 years ago by gravatar for teamques10 teamques10 ★ 65k •   modified 2.3 years ago

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

Marks : 10M

DIfficulty : Easy
cad cam cae
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written 5.6 years ago by gravatar for teamques10 teamques10 ★ 65k

enter image description here

Equation of line is 3x - 4y + 8 = 0 ,i.e; 4y = 3x + 8

i.e; y = (3/4)x + 2

Comparing with enter image description here

also enter image description here

enter image description here

Step 1: Transformation of Point P(0,2) to origin O(0,0)

enter image description here (-ve as direction is downward.)

Step 2: Rotation of line by an angle of θ …

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