Which of the following shows why rectangle WXYZ is congruent to rectangle W'X'Y'Z'?


A. The rectangle was rotated 180° clockwise about the origin and shifted 3 units in the x direction.
B. The rectangle was rotated 90° clockwise about the origin and shifted 3 units in the x direction.
C. The rectangle was rotated 180° clockwise about the origin and shifted 3 units in the y direction.
D. The rectangle was rotated 90° clockwise about the origin and shifted 3 units in the y direction.

Which of the following shows why rectangle WXYZ is congruent to rectangle WXYZ A The rectangle was rotated 180 clockwise about the origin and shifted 3 units in class=

Respuesta :

If you rotated the box 90º, the orrientation would not be the same, so it is not D or B.

After rotating 180º, the box will be in the 1st quadrant. If it moved along the x-axis, it wouldnt be there anymore, and the after-picture shows it in the first quadrant still, so the only answer it can be is C.