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1) Let R be the midpoint of ST. Let Q be the midpoint of SR ST has length 12. What is the length of QR? Answer: Alternate Interior Angles Th. 2) Answer: Parallel 3) Answer: If 2 angles are not congruent, then the angles are not vertical. 4) Answer: Perpendicular 5) Answer: Detachment 6) Answer: (3,10) 7) Answer: 119 8) Answer: If a triangle has 2 angles of 60, then it is equilateral. 9) Answer: If 2 angles are not vertical, then 2 angles are not congruent. 10) Answer: 5 11) 1 2 3 4 Answer: 135 5 12) Answer: 360 13) Answer: 7<x<43.25 14) Answer: 4<x<16 15) Use law of detachment to make a valid conclusion in the situation. If you get a hit, then your baseball team will win. You hit a home run. Answer: Square 16) Use the law of Syllogism to write the statement that follows from the pair of statements that are given. If a triangle has two angles of 60o, then the triangle is equiangular. If a triangle is equiangular, then it is also equilateral. Answer: 3 17) Decide which law of Logic is being applied: If Cedric plays in a big game, then he gets nervous. If Cedric gets nervous, then he performs well. Conclusion: If Cedric plays in a big game, then he performs well. Answer: Trapezoid 18) Decide which law of logic is being applied: If Leanne spends more than $30 on her car, then she’ll have to wait until next week to buy Michael’s birthday gift. Leanna spent $40 on her car. Conclusion: Leanne will have to wait until next week to buy Michael’s birthday gift. Answer: (13,11) 19) Answer: Scalene 20) What is the inverse of the following statement: Answer: ASA 21) What is the contrapositive of the following statement: Answer: The team won the game. 22) B is in the interior of AOC , C is in the interior of BOD , D is in the interior of COE . If m AOE 148 , m COE 58 , m AOB m COD m DOE , then find m EOB . Answer: y=.5x-9 23) Find the value of x and y. Answer: 16 24) What is the best name for the following quadrilateral. Answer: Reflexive 25) What is the best name for the following quadrilateral. Answer: (0,-3) 26) What is the sum of the exterior angles of a irregular convex decagon? Answer: Not enough information 27) What is the measure of one interior angle of a regular octagon? Answer: 22 28) What is the value of n? Answer: W 29) Determine if the lines are parallel, perpendicular, or neither. Answer: 1 & 5 30) Determine if the lines are parallel, perpendicular, or neither. 2x 3y 5 6x 9 y 11 Answer: HL 31) Determine the range of values for the third side of a triangle if two sides are 6 and 10. Answer: Syllogism 32) Find the values of x that will be true for the following diagram. Answer: A