Question

which series of Transformations will carry rectangle STUV onto itself ?
A.)reflection over the y-axis clockwise Rotation by 180 degrees about the origin reflection over by the y-axis
B.)reflection over the x axis reflection over the y-axis counterclockwise rotation by 270 degrees about the origin
C.)reflection over the y-axis reflection over the x-axis and counterclockwise rotation by 180 degrees about the origin
D.)reflection over the x axis reflection over the y-axis clockwise Rotation by 90 degrees about the origin

Answer 1

The answer is c. Hope this helps :). If you want more clarification I’ll tell you

Answer 2

Answer with explanation:

Coordinates of Vertices of Rectangle STUV

S=(-9,5),T=(-1,5),U=(-1,4),V=(-9,4)

→Selecting after contemplating , the appropriate option and then explaining why it is correct

Reflection over y axis , the coordinates of Image Rectangle STUV will be

  S=(9,5),T=(1,5),U=(1,4),V=(9,4)

Then, Reflecting Over x axis,the new coordinates of Rectangle STUV will be

  S=(9,-5),T=(1,-5),U=(1,-4),V=(9,-4)

Now rotating by 180 degree, the coordinates of Rectangle STUV will be

 $(x,y)_{180^{\circ}}=(-x,-y)$

S=(-9,5),T=(-1,5),U=(-1,4),V=(-9,4)

Option C

Reflection over the y-axis, reflection over the x-axis and counterclockwise rotation by 180 degrees about the origin