Question

Determine a series of transformations that would map Figure F onto Figure G. 12 11 10 9 8 Figure G7 6 4 3 1 2 3 4 5 6 7 8 9 10 11 12 -12-11-10-9-8-7 -6 -5 -4 -3 -2 -1 -2 -3 -4 -6 N . Figure F -8

Answer 1

To find the series of transformations that would map Figure F onto Figure G

We will choose one side to figure out the transformations

So, Look at the vertical side of the figure F which has the end points (1 , -3) and (1 , -5)

The image of this side will be the horizontal side of figure G with the end points ( -3 , 1 ) and (-5,1)

so, we need to rotate it

So, the series of transformation will be :

Reflection

To find the rule of reflection

Note ( 1 , -3 ) → (-3 , 1)

this mean ( x , y ) → (y,x)

Which mean reflection over y = x

The same can obtained by translation 2 units up then rtation 90 clockwise