On a coordinate plane, 2 triangles are shown. The first triangle has points A (negative 2, 1), C (negative 4, 1), and B (negative 3, 4). The second triangle has points A prime (1, negative 2), B prime (4, negative 3), and C prime (1, negative 4). What is the rule for the reflection?

ry=x(x, y) → (–y, –x)
ry=–x(x, y) → (–y, –x)
ry=x(x, y) → (y, x)
ry=–x(x, y) → (y, x)

  R(y=x) = (x, y) → (y, x)

Step-by-step explanation:

The coordinates of A are (-2, 1).

The coordinates of A' are (1, -2).

Clearly, the values have been swapped in accordance with ...

  (x, y) → (y, x)

This is the result of a reflection across the line y = x. Hence the rule and its name are ...

  R(y=x) = (x, y) → (y, x)

i would say c is the best answer, hope it's right!

good luck! =)

cutie~

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above