Pre-Calculus Homework Solutions 109

Pre-Calculus Homework Solutions 109 - Page 221 2. Sample...

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Page 221 Practice Quiz 2 1. JM 5 ¬ Ï [ 2 2 2 w ( 2 4)] w 2 1 (6 w 2 5) 2 w 5 ¬ Ï 4 1 1 w or Ï 5 w BD 5 ¬ Ï [ 2 4 2 w ( 2 3)] w 2 1 [ 2 w 2 2 ( 2 w 4)] 2 w 5 ¬ Ï 1 1 4 w or Ï 5 w ML 5 ¬ Ï [ 2 1 2 w ( 2 2)] w 2 1 (1 w 2 6) 2 w 5 ¬ Ï 1 1 25 w or Ï 26 w DG 5 ¬ Ï [1 2 ( w 2 4)] 2 w 1 [ 2 1 w 2 ( 2 2 w )] 2 w 5 ¬ Ï 25 1 1 w or Ï 26 w JL 5 ¬ Ï [ 2 1 2 w ( 2 4)] w 2 1 (1 w 2 5) 2 w 5 ¬ Ï 9 1 16 w or 5 BG 5 ¬ Ï [1 2 ( w 2 3)] 2 w 1 [ 2 1 w 2 ( 2 4 w )] 2 w 5 ¬ Ï 16 1 9 w or 5 Each pair of corresponding sides has the same measure so they are congruent. n JML > n BDG by SSS. 2. Given: / A > / H , / AEJ > / HJE Prove: A w J w > E w H w Proof: 3. From the figure, W w X w > X w Y w so the angles opposite these sides are congruent. That is, m / XWY 5 m / XYW . m / XYW 1 m / XYZ 5 ¬ 180 m / XYW 1 128 5 ¬ 180 m / XYW 5 ¬ 52 So, m / XWY 5 52. 4. From Question 3, m / XWY 5 52. m / WXY 1 m / XWY 1 m / XYW 5 ¬ 180 m / WXY 1 52 1 52 5 ¬ 180 m / WXY 5 ¬ 76 5. n XYZ is isosceles with / YZX > / YXZ . m / YZX 1 m / YXZ 1 m / XYZ 5 ¬ 180 2( m / YZX ) 1 128 5 ¬ 180 2( m / YZX ) 5 ¬ 52 m / YZX 5 ¬ 26 Triangles and Coordinate Proof Page 224
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