State which postulate, definition, or theorem justifies the statement about the diagram.
If E is the midpoint of $\bar{A F}$ , then $A E = \frac{1}{2} A F$ .

Question

Accepted Answer

The fact that the midpoint of a line divides it into equal parts justifies the statement about the diagram.

Statement	Reasons
1. A, M, and B have coordinated a, x, and b respectively; $b > a$ .	1. ?
2. $A M = x - a; M B = b - x$	2. ?
3. M is the midpoint of $\bar{A B}$ .	3. ?
4. $\bar{A M} ≅ \bar{M B}$ , or $A M = M B$	4. ?
5. $x - a = b - x$	5. ?
6. $2 x =$ ?	6. ?
7. $x = \frac{a + b}{2}$	7. ?

Short Answer