:Geometric transformations Determine the coordinates of the images of the vertices A(2,1), B(3,2), C(2,3) of a...

:Geometric transformations

Determine the coordinates of the images of the vertices A(2,1), B(3,2), C(2,3) of a triangle t, following the composition of two transformations:
1. a homothety with centre C1(0,0) and ratio
k = 5, followed by a 2. rotation with centre C2(6,-1) and angle = 30°

Steps of the resolution that must be part of the answer:

1. Construct and order in a matrix product the sequence of matrices corresponding to this succession of transformations (expressed in exact values = fractions and reduced square roots ).

2. Calculate the global transformation matrix Tg (expressed in exact values).

3. Determine the coordinates of the image of the triangle ABC by this succession of transformations ( expressed in exact values AND in decimal numbers rounded to two decimal places).

4. Draw the geometrical construction corresponding to these two transformations applied to the ABC triangle.

kindly solve it conceptually and clearly by diagram and explaining it's all parts

Expert Solution

milcah answered 2 years ago

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