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 X w Y w ,then X w P w> P w Y w . By definition of congruent segments, XP 5 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 A w B w and Q is the midpoint of A w M w . Prove: AQ 5 } 1 4 } AB Proof: If M is the midpoint of A w B w AM 5 } 1 2 } ( AB ). Since Q is the midpoint of A w M w , AQ 5 } 1 2 } AM or } 1 2 } 1 } 1 2 } ( AB ) 2 5 } 1 4 } AB . 39. Distributive Property 40. Division Property 41. Subtraction Property 42. Transitive Property 43. Given: 5 5 2 2 } 1 2 } x Prove: x 52 6 Proof: 44. Given: x 2 1 5 Prove: x 5 4 Proof: 45. Given: AC 5 AB , AC 5 4 x 1 1, AB 5 6 x 2 13 Prove: x 5 7 Proof: 46. Given: MN 5 PQ , PQ 5 RS Prove: MN 5 RS Proof: 47. Reflexive Property 48.
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## This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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