Use the graph to answer the question.

Which transformations map polygon ABCD to itself?
Select all correct that apply.
a reflection in the y-axis
a 90∘ clockwise rotation about origin
a 180∘ clockwise rotation about origin
a reflection in the x-axis

a reflection of the y-axis, a 180 degree rotation about origin, a reflection of the x-axis

Step-by-step explanation:

Using process of elimination, the second answer won't work as it will change its orientation upright which will disable it from being able to recover back to its original position. A reflection of the y axis "about origin" means that it is being flipped vertically in place which means its position will not change. Therefore, the first and fourth answer work in the same way. For the third answer, a 180 degree rotation means that it is going to be rotated so that points A and D will be switched, and B and C will be switched.

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft