1. Refer to the figure. If G is the midpoint of , which conjecture is true? A. B. intersects at exactly two points. C. is exactly 5 feet long. D. None of the statements are true. Hint 2. Which statement follows from statements (1) and (2) by the Law of Syllogism?(1) If an object is a square, then it is a rhombus.(2) If an object is a rhombus, then it is an equilateral. A. If an object is an equilateral, then it is a square. B. An object is a rhombus. C. If an object is a square, then it is an equilateral. D. An object is a square. Hint 3. Name the property of equality that justifies the following statement.If CD = MN and CD = RS, then MN = RS. A. Reflexive Property (=) B. Symmetric Property (=) C. Distributive Property (=) D. Substitution Property (=) Hint 4. For the proof shown, provide statement 2. A. AC = DF, BC = EF B. AB = BC, DE = EF C. AC = DE, AB = DF D. AB = DE Hint 5. All right angles are ____________. A. transitive B. 180° C. congruent D. complementary Hint 6. If and form a linear pair and find A. 76 B. 96 C. 106 D. 86 Hint 7. A certain basketball team had 7 wins and 12 losses in a season. Which is a valid conjecture based on this information? A. The team finished 5th in their conference. B. The team was undefeated. C. The team won their last 5 games. D. The team played 19 games.. Hint 8. In order to find the contrapositive of a conditional, you must first find the _____ and then find the _____ of each part. A. converse, inverse B. inverse, negation C. converse, negation D. hypothesis, converse Hint 9. What is the negation of the conclusion of the following conditional?All birds can fly. A. It is not a bird. B. It is a bird C. It can fly. D. It cannot fly. Hint 10. Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square. A. If WXYZ is not a square, then it does not have four right angles. B. If WXYZ has four right angles, then it is a square. C. WXYZ has four right angles. D. If WXYZ is not a square, then it has four right angles. Hint 11. Name the property that justifies the statement.''If 2x = 12, then x = 6''. A. Symmetric Property B. Division Property (=) C. Multiplication Property (=) D. Transitive Property (=) Hint 12. For the proof shown, provide the reason for part b. A. Definition of a line B. Definition of congruent segments C. Symmetric Property (=) D. Definition of Addition Hint 13. Construct a truth table for pq. A. B. C. D. Hint 14. Write the contrapositive of the statement a right angle measures 90 degrees. A. If an angle does not measure 90 degrees, then it is not a right angle. B. If an angle is not a right angle, then its measure is not 90 degrees. C. If an angle measures 90 degrees, then it is a right angle. D. If an angle is a right angle, then it measures 90 degrees. Hint 15. Which of the following statements is not a postulate? A. Through any two points, there is exactly one line. 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. If two lines intersect, then their intersection is exactly one point. Hint 16. 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. 21 B. 7 C. 15 D. 42 Hint