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Tell which property of equality is illustrated. Write A for reflexive, B for symmetric, C for transitive, D for addition property of equality (APE), and E for multiplication property of equality (MPE). (Take note that subtration is under APE while division is under MPE.)
1. y - 12 = y - 12
2. if 213 = 200 + 13, then 200 + 13 = 213.
3. if 16 + 4 = 20 and 20 = 4 * 5, then 16 + 4 = 4 * 5.
4. 108.25 = 108.25
5. if x/4 = 16, then (x/4) 4 = 16(4).
6. if x - 5 = 10, then x - 5 + (-5) = 10 + (-5).
7. 2x/3 = 2x/3
8. if 7x = 49, then (7x) (1/7) = (49) (1/7).
9. if if 29 = 9 + 20, then 9 + 20 = 29.
10. if m + 4 = 25 and 25 = 3m, then m + 4 = 3m.
11. if 7 * -3= -21, then -21 = 7 * -3.
12. if 2 + 3 + 6, then 2 + 3 + 6 + 10 = 5 + 6 + 10.
13. xy = xy
14. If c2 = a2 + b2 , then c2 + d2 = a2 + b2 + d2.
15. if 4 = 8/2 and 8/2 = 4/1, and 4 = 4/1.