Pre-Calculus Homework Solutions 49

Pre-Calculus Homework Solutions 49 - 30 Never the...

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30. Never; the intersection of two lines is a point. 31. Always; if P is the midpoint of XY , then XP PY . By definition of congruent segments, XP PY . 32. sometimes; if M , X , and Y are collinear 33. sometimes; if the points are collinear 34. Always; there is exactly one line through Q and R . The line lies in at least one plane. 35. sometimes; if the right angles form a linear pair 36. Always; the Reflexive Property states that 1 1. 37. Never; adjacent angles must share a common side, and vertical angles do not. 38. Given: M is the midpoint of AB and Q is the midpoint of AM . Prove: AQ 1 4 AB Proof: If M is the midpoint of AB , then AM 1 2 ( AB ). Since Q is the midpoint of AM , AQ 1 2 AM or 1 2 1 2 ( AB ) 1 4 AB . 39. Distributive Property 40. Division Property 41. Subtraction Property 42. Transitive Property 43. Given: 5 2 1 2 x Prove: x 6 Proof: 44. Given: x 1 Prove: x 4 Proof: 45. Given: AC AB , AC 4 x 1, AB 6 x 13 Prove: x 7 Proof: 46. Given: MN PQ , PQ RS Prove: MN RS Proof: 47. Reflexive Property 48. Symmetric Property 49. Addition Property 50. Transitive Property 51.
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