{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Pre-Calculus Homework Solutions 108

# Pre-Calculus Homework Solutions 108 - 42 A m ZXY m PYZ ¬90...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 42. A; m ZXY m PYZ ¬90 m ZXY 26 ¬90 m ZXY ¬64 PYZ is isosceles since YP YZ, so m YPZ m YZP. m YPZ m YZP m PYZ ¬180 2(m YPZ) 26 ¬180 2(m YPZ) ¬154 m YPZ ¬77 m XPZ m YPZ ¬180 m XPZ 77 ¬180 m XPZ ¬103 m XZP m XPZ m PXZ ¬180 m XZP 103 64 ¬180 m XZP ¬13 ¬ (5 1)2 [1 ( 5)]2 ¬ 16 36 or 52 EG ¬ [ 1 ( 4)]2 [2 ( 3)]2 ¬ 9 25 or 34 RS ¬ (4 5)2 (0 1)2 ¬ 1 1 or 2 GH ¬ [2 ( 1)]2 (1 2)2 ¬ 9 1 or 10 QS ¬ (4 1)2 [0 ( 5)]2 ¬ 9 25 or 34 EH ¬ [2 ( 4)]2 [1 ( 3)]2 ¬ 36 16 or 52 The corresponding sides are not congruent so QRS is not congruent to EGH. 47. QR 48. x2 y1 2 Page 221 , y2 2 3 95 N D, G I, AN SD Prove: ANG SDI G 49. S F T F F F D q T F F F T F F T T F T T F T F I p T A F T T T p q p or q R V 50. S U m k and T F F F T T F T F F F 51. m T T k T Proof: We are given that VR RS, UT SU and RS US. Perpendicular lines form four right angles so R and U are right angles. R U because all right angles are congruent. RSV UST since vertical angles are congruent. Therefore, VRS TUS by ASA. F T F z T F F F F F T T T F F T m T T ¬ [1 ( 3)]2 (2 1)2 ¬ 16 1 or 17 EG ¬ (2 6)2 [ 3 ( 2)]2 ¬ 16 1 or 17 RS ¬ ( 1 1)2 ( 2 2)2 ¬ 4 16 or 20 GH ¬ (4 2)2 [1 ( 3)]2 ¬ 4 16 or 20 QS ¬ [ 1 ( 3)]2 ( 2 1)2 ¬ 4 9 or 13 EH ¬ (4 6)2 [1 ( 2)]2 ¬ 4 9 or 13 Each pair of corresponding sides has the same measure so they are congruent. QRS EGH by SSS. y T 46. QR Chapter 4 T F N Proof: We are given N D and G I. By the Third Angle Theorem, A S. We are also given AN SD. ANG SDI by ASA. 45. Given: VR RS, UT SU, RS US Prove: VRS TUS T F Maintain Your Skills 44. Given: a and b T 2, 2 12 18 2 , 2 or (6, 9) b T 13 a F 43. D; x1 T 52. x1 53. x1 54. x1 y x2 y1 2 , y2 y or z 7 15 2 2 2 , 9 2 (4.5, 12) x2 y1 2 , y2 4 26 2, 2 ( 1, x2 y1 2 , y2 2 3 3) 7.5 2.5 4 2, 2 (5.25, 3.25) 110 ( 12) 2 ...
View Full Document

{[ snackBarMessage ]}