1. A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true. A. definition B. theorem C. postulate D. proof Hint 2. Which of the following is not one of the five essential parts needed to construct a good proof? A. If possible, draw a diagram to illustrate the given information. B. List the given information. C. State the theorem to be proved. D. Develop a system of inductive reasoning. Hint 3. What three things are accepted as true without verification or proof? A. conclusions, hypotheses, and postulates B. theorems, postulates, and undefined terms C. definitions, theorems, and postulates D. definitions, postulates, and undefined terms. Hint 4. Which of the following statements is not a postulate? A. If two lines intersect, then their intersection is exactly one point. B. Points that lie of the same plane are said to be coplanar. C. A plane contains at least three points not on the same line. D. Through any two points, there is exactly one line. Hint 5. A group of 7 people get together for a meeting. Before the meeting starts, they each shake hands with every person at the meeting. If a person only shakes hands with another person once, how many handshakes were there before the meeting began? A. 42 B. 21 C. 15 D. 7 Hint