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Question
- mk = mk 2. reflexive property of equality 3. gk = mk + gm; mh = mk + kh 3. segment addition postulate 4. gk = mk + kh; mh = mk + kh 4. substitution property of equality 5. gk = mh 5. ____ what is the correct reason for statement 5? reflexive property of equality symmetric property of equality transitive property of equality subtraction property of equality
Brief Explanations
The transitive property of equality states that if a = b and b = c, then a = c. In statement 4, we have GK = MK + KH and MH = MK + KH. Since both GK and MH are equal to the same expression (MK + KH), by the transitive property of equality, GK = MH.
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Transitive property of equality