Pre-Calculus Homework Solutions 69

Pre-Calculus Homework Solutions 69 - 35. Given: AD Prove:...

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35. Given: A w D w ' C w D w , / 1 > / 2 Prove: B w C w ' C w D w Proof: 36. Given: J w M w i K w N w , / 1 > / 2, / 3 > / 4 Prove: K w M w i L w N w Proof: 37. Given: / RSP > / PQR , / QRS and / PQR are supplementary Prove: P w S w i Q w R w Proof: 38. slope of AB @ #$ 5 ¬ } 4 4 2 2 ( 2 2 4) } or } 1 4 } slope of CD @ 5 ¬ } 1 4 2 2 0 0 } or } 1 4 } Yes, the lines are parallel since the slopes are the same. 39. slope of AB @ 5 ¬ } 2 1. 2 5 2 2 ( ( 2 2 1 0 ) .75) } 5 ¬ } 2 0 3 .75 } or 2 0.25 slope of CD @ 5 ¬ } 0 1 2 .5 ( 2 2 1 1 . . 5 8 ) } 5 ¬ } 2 1 0 .5 .3 } or 2 0.2 No, the lines are not parallel since the slopes are not the same. 40. When he measures the angle that each picket makes with the 2 by 4, he is measuring corresponding angles. When all of the corresponding angles are congruent, the pickets must be parallel. 41. The 10-yard lines will be parallel because they are all perpendicular to the sideline and two or more lines perpendicular to the same line are parallel. 42. Consecutive angles are supplementary; opposite angles are congruent; the sum of the measures of the angles is 360.
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