Arrange the sentences of the paragraph proof in the most logical order. Given: GH has a length of 16 cm.
Prove: If point 7 is the midpoint of GĦ, then GT = 8 cm.
1. If point 7 is the midpoint of GH, then GT= TH by the definition of midpoint.
2. Assume that I is the midpoint of GH and that GT+8 cm. Let GT= 5 cm.
3. GH= GT+TH by the segment addition postulate. Therefore, GH= 5 cm + 5 cm = 10 cm. GH= 10 cm and GH = 16 cm,
which is a contradiction.
4. If GT= 8 cm, then a contradiction occurs. Therefore, the original statement is true by proof by contradiction.
A 1, 2, 3, 4
B. 2, 1, 3,4
C. 2, 4, 1,3
D. 4, 3, 1, 2