Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

P is the midpoint of $\bar{G H}$ implies that $G H = 2 P G$ .

Question

Accepted Answer

The statement "p is the midpoint of $\bar{G H}$ implies that $G H = 2 P G$ ” is true.

The converse of the given statement “if $G H = 2 P G$ , then P is the midpoint of $\bar{G H}$ .” is true.

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