Justify each step in the proof below (You may use a choice more than once. You will not use all the choices given. )
EG = 68
2. EF + FG = EG
3. 8x - 12 + 2x = 68
4. 10x - 12 = 68
5. 10x = 80
6. x = 8
Definitions:
Multiplication property, substitution, angle addition postulate, Segment Addition postulate, division property, addition property, subtraction property, simplify, transitive property.
2. Segment Addition postulate - This step states that the sum of the lengths of two segments is equal to the length of the whole segment.
3. Simplify and addition property - This step simplifies the expression on the right side of the equation and combines like terms using addition.
4. Addition property - This step adds 12 to both sides of the equation to isolate the variable term on the left side.
5. Division property - This step divides both sides of the equation by 10 to solve for x.
6. Simplify and division property - This step simplifies the equation by dividing 80 by 10, resulting in x equaling 8. This step also applies the division property of equality.
what I meant was match the definition to these:
2. EF + FG = EG
3. 8x - 12 + 2x = 68
4. 10x - 12 = 68
5. 10x = 80
6. x = 8
2. Segment Addition postulate - EF + FG = EG
3. Simplify and addition property - 8x - 12 + 2x = 68
4. Addition property - 10x - 12 = 68
5. Simplify and division property - 10x = 80
6. Division property - x = 8