Question

Derek's design is a kite which starts with coordinates : A(2,0),B(4,-2),C (2,-5) and D(0,-2).if he translates it 5 units to the left and 3 units down and then reflects it across the y-axis,which of these would be correct?Select the two answers

a.A would be at (-3,5)

b. B would be at (-1,5)

c.C would be at (-5,8)

d. It would end at the same spot if the original design was reflected across the x-axis,followed by a 180 degree rotation about the origin,followed by translation 1 unit to the left.

E.It would end at the same spot if the original design was reflected 180 degrees rotation about the origin,followed by a translation 3 unit up and translated 1 unit to the left

Answer 1

A(2,0)->translation left by 5 (-3,0)-> translation 3 units down(-3,-3) -> reflection across y axis (3,-3)

So a) option is wrong

B(4,-2)->translation left by 5 (-1,-2)-> translation 3 units down(-1,-5) -> reflection across y axis (1,-5)

So b) option is correct

C(2,-5)->translation left by 5 (-3,-5)-> translation 3 units down(-3,-8) -> reflection across y axis (3,-8)

So c) option is incorrect

If the original design was to go through the given transformation then A(2,0) would go to (2,0). The 180 rotation would send this to (-2,0). And translation by 1 unit to left would give (-3,0) which is not in the same place as the original kite.

So option d) is incorrect

This option is incomplete as in ".. was reflected 180 degrees rotation ..." the axis of reflection is not mentioned. But as 2 options must be correct, this must be the correct option