Which sequence of transformations performed on shape i confirms the congruence of shape ii and shape i?
a. a reflection across the y-axis and then a translation down 16 units
b. a 90° counterclockwise rotation about the origin and then a translation down 8 units
c. a 90° clockwise rotation about the origin and then a translation left 16 units
d. a 180° rotation about the origin and then a translation left 8 units

Option D. a 180° rotation about the origin and then a translation left 8 units.

Step-by-step explanation:

See the attached figure_1

From the graph: Point A'(-12,-6) is the image of point A(4,6)

We will check which sequence of transformations is true:

A. a reflection across the y-axis and then a translation down 16 units

A(4,6) ⇒(-4,6)⇒(-4,-10)   (Wrong sequence)

B. a 90° counterclockwise rotation about the origin and then a translation down 8 units

A(4,6) ⇒(-6,4)⇒(-6,-4)    (Wrong sequence)

C. a 90° clockwise rotation about the origin and then a translation left 16 units

A(4,6) ⇒(6,-4)⇒(-10,-4)    (Wrong sequence)

D. a 180° rotation about the origin and then a translation left 8 units

A(4,6) ⇒(-4,-6)⇒(-12,-6)A'   (True sequence)

Note: the rules is the attached figure_2

6. 104

7. 52/37

8. 2704

9. 140608

10. -52

11. |52|=52

12. 1/52

13. 156

14. 26

15. 40

16. 37

17. -364

18. 53 1/3

19. 50.96

20. 43 2/3

21. 78

22. 50.75

23. 47.63

24. 163.28

25. 10400

26. 338

27. 208

28. 2704 square inches

29. 312 square meters

30. don't know what its asking, tell me so i can tell you

31. 8490.56

32. 52 degrees would be an acute angle

33. 128 degrees

34. 20.8

35. 39

36. 208

where is the graph

step-by-step explanation: