Name Date Geometry CP- Chapter 3 Test Review Think of each segment in the diagram as part of a line. Which line(s) or plane(s) appear to fit the description? 1. Line(s) parallel to AB DC, HG, EF 2. Line(s) perpendicular to BF EF, FO 4 3. Line(s) skew to CD and containing point E AE D A E B 4. Plane(s) perpendicular to plane ABE ADE, HEF, ADC, BCG 5. Plane(s) parallel to plane ABC HEF 6. Classify each angle pair as corresponding, alternate interior, alternate exterior, consecutive interior, or consecutive exterior. Then identify the transversal. a) angle 1 and angle 9 Corresponding transversal: P P b) angle 8 and Consec. Int angle 13 transversal: 1/2 56 c) angle 6 and angle 16 Alt Exterior transversal: 43 87 d) angle 4 and angle 10 Alt Int transversal: 9/10 13/14 e) angle 8 and angle 16 Corresponding transversal: 12/11 16/15 f) angle 10 and angle 13 Consec. Int transversal: S For the following diagrams, find the value of x. 7. 4 x^ * - 5x / 04 8. 68 deg 9. 192 - 6x + 56 x ^ 2 - 5x = - 6x + 56 68 + 2x = 180 2x = 112 (2x - 4) deg / 92 = 2x - 4 96 = 2x x ^ 2 + x - 56 = 0 (x + 8)(x - 7) x= -8,7 x = - 8, 7 56 X= X= 48 6 Both work! 2 10. 11. 100 deg 12. 120 3 105 deg ( x - dot 2 )^ 2 underline (x - 10) ^ * (2y + 24) ^ * < (6y - 12) ^ * 105 + x - 2 = 180 100 = x - 10 X = 110 3x = 120 x > 40 103 + x = 180 X = 77 2y = Omega*varphi 2y + 24 = 80 Y = 28 40 + 6y - 12 = 180 28 + l*y_{1}*y = 180 6y = 152 Y = 152/6 77 X= x = 110/(y = 28) x = 40 y= underline 25. overline 3 Find the value of x so that n // m. State the theorem or postulate that justifies your solution. 13. 5x 14. 15. 3x+48/ m 7x + 13 4 6x - 18 8x-5 m 5x = 3x + 48 2x = 48 5x + 23 = 7x + 13 10 = 2x 5x - 18 + 8x - 5 = 80 13x - 23 = 180 13x = 203 x = 2u AH EXT4 (Post or Thm) Converse Thm x = 5 Corr. A (Post or Thm) Converse Post. x= underline |5.4p| * 5 Cons Inty (Post or Thm) Conv. Thm an you prove that lines p and q are parallel? (Circle answer.) If so, state the theorem or ostulate that you would use. 6. 17. 18. P Yes or No Corr & Conv Post. (Post or Thm) Yes or No Alt int & (Post or Thm) Conr Thm Yes or No (Post or Thm) 19. Find the value of x, y, and z given that a || b. 2= y = 23/26 x = 50 n- (2x + 5) deg 75 deg (3z) deg 4 (5y - 10) ^ 6 2x + 5 + 78 = 180 X = 50 75 = 3z Z = 25 5y - 10 = 108 5y = 115 Y = 23 20. Find the measure of each angle if m angle l = 135 deg m angle5+m angle6= underline 1\& 0 deg m/2= 45^ m triangle 3 = 135 deg b m angle 5 = 135 deg m angle 6 = 45 deg m angle4+m angle 8 = 10 8 Practice 3: Given: ||, <1<11 S Prove: 1. plir, angle1 ni LN 1. Given 910 1112 angle 1 cong L5 2. Alt Ext & Thm 3. angle5 cong LM 2 3. Trans. Prop 4. lllm 4. Alt Int & Conv. Thm 65 Given: 1, m < 1 + m < 12 = 180 deg Prove: S 2 1. plir, mitmL2=. 180 1. Given 2 4 2. angle1 cong LS 2.AH EXT & Thm 3. ML1 = MLS 3. Def 910 4. m angle.5+m angle12..=180 4. Subst. POE 1615 5.111m 5. Cons. Int & Conv. Thm Prove Theorem 36. Given: AB 1 BD and CD1BD Prove: ABCD A R S 1. AB1 BD CD1 BD 2.1 is a right & 22 is a right ん 3. m angle 1 = 90 deg , mL * 2 = 90 deg 4. m L1=mL2 L 1 cong L2 6. AB 11 CD 1. given 2. Def 1 5. Det right 4. Subst. POE 5.Def 6. Corr. & Converse Postulate.

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