Can anyone answer this question please its urgent Show the f

Can anyone answer this question please.. its urgent

Show the following geometric transformations on an equilateral triangle having coordinates, (Xi, y1) = (0, 0), (X1, y1) = (5, 0), (X1, y1) = (2.5 , 4.33), all units in cm. These transformations are all separate and do not depend on the preceding transformation. (a) Translation in X-direction of 5 cm (b) Scaling in Y-direction of magnitude 3 (C) Mirroring about the Z-axis (d) Rotating about Y-axis by 30 degrees

Solution

a) translation in x direction of 5cm.

We have two answers one for left movement and other for right

(-5,0) (0,0) and (-2.5, 4.33) for left and

(5,0) (10,0) and (7.5, 4.33) for right

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b) for y direction vertical up and down are possible

up -- (0,3) (5,3) (2.5, 7.33)

down (0,-3) (5,-3) (2.5,1.33)

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c) As this is two dimension mirroring about the z axis no change

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d) Rotating by 30 deg about y axis means

angle increases by 30

Hence (0,0) ((5cos30, 0) and (2.5cos30, 0)

and (0,0) (-5cos30,0) and (-2.5cos30,0)