Parallel Lines & Transversals and Proofs

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Presentation transcript:

Parallel Lines & Transversals and Proofs Unit 2B Bingo Review Parallel Lines & Transversals and Proofs

Add these answers anywhere on your bingo board. 5 AAS supplementary Division symmetric reflexive Multiplication 12 substitution SSS addition vertical angles Linear pair symmetric division Symmetric alternate interior transitive Distributive subtraction SAS Given alternate exterior 𝑸𝑵

Parallel Lines and Transversals Triangle and Parallelogram Proofs Properties Algebraic Proofs Triangle and Parallelogram Proofs 1 7 13 19 2 8 14 20 3 9 15 21 4 10 16 22 5 11 17 23 6 12 18 24

1. Angles that are on opposite sides of the transversal and inside the parallel lines are ________________ angles. Back

2. If two parallel lines are cut by a transversal, then the two pairs of same-side interior angles are ____________________. Back

What is the angle relationship between angles 2 & 7? 3. What is the angle relationship between angles 2 & 7? Back

What is the angle relationship between angles 1 & 2? 4. What is the angle relationship between angles 1 & 2? Back

5. Solve for x. Back

6. Solve for x. Back

Name the property 7. If 13 = x, then x = 13. Back

Name the property 8. If x = y and y = 4, then x = 4. Back

Name the property 9. If x = 3, then 5x = 15. Back

Name the property 10. If UV = VW, then VW = UV Back

Name the property 11. If x = 3 and x + 6 = 9, then 3 + 6 = 9. Back

Name the property 12. If 9x = 81, then x = 9. Back

What is the missing reason? 13. -2(-2x + 4) = 16 Given 4x – 8 = 16 ? 4x = 24 Addition Property x = 6 Division Property Back

What is the missing reason? 14. 2x + 20 = 4x – 12 Given 20 = 2x – 12 Subtraction Property 32 = 2x Addition Property 16 = x Division Property x = 16 ? Back

What is the missing reason? 15. 2x – 5 = 13 Given 2x = 18 ? x = 9 Division Property Back

What is the missing reason? 16. 5(3y + 2) = 16y Given 15y + 10 = 16y Distributive Property 10 = y ? y = 10 Symmetric Property Back

What is the missing reason? 17. 8t – 4 = 5t + 8 ? 3t – 4 = 8 Subtraction Property 3t = 12 Addition Property t = 4 Division Property Back

What is the missing reason? 18. 1 2 x + 6 = 3 Given 1 2 x = -3 Addition Property x = -6 ? Back

What is the missing reason? 19. 𝐴𝐶 ≅ 𝐸𝐶 Given 𝐵𝐶 ≅ 𝐷𝐶 Given <𝐴𝐶𝐵≅ <𝐸𝐶𝐷 Vertical Angles are congruent ∆𝐴𝐵𝐶 ≅ ∆𝐸𝐷𝐶 ? Back

What is the missing reason? 20. 𝐽𝐾 ≅ 𝑁𝐾 Given 𝐴𝐾 bisects 𝐽𝑁 Given 𝐽𝐴 ≅ 𝑁𝐴 Definition of Segment bisector 𝐴𝐾 ≅ 𝐴𝐾 ? ∆𝐽𝐴𝐾 ≅ ∆𝑁𝐴𝐾 SSS Congruence Back

What is the missing reason? 21. AP = 5, DP = 5 Given <𝐴 ≅ <𝐷 Given <𝐴𝑃𝐵 ≅ <𝐷𝑃𝐶 ? ∆𝐴𝐵𝑃 ≅ ∆𝐷𝐶𝑃 ASA Congruence Back

What is the missing reason? 22. 𝐶𝐵 ≅ 𝐴𝐷 Given 𝐴𝐵 ≅ 𝐶𝐷 Given 𝐴𝐶 ≅ 𝐴𝐶 Reflexive Property ∆𝐴𝐵𝐶 ≅ ∆𝐶𝐷𝐴 ? Back

What is the missing reason? 23. ∠QMN ≅ ∠QPN Given ∠QNM ≅ ∠QNP Given ? ≅ 𝑄𝑁 Reflexive Property ∆QMN ≅ ∆QPN AAS Congruence Back

What is the missing reason? 24. ∠JNK ≅ ∠MLK Given JK ≅ MK Given ∠JKN ≅ ∠MKL Vertical Angles ∆JNK ≅∆MLK ? Back

Answers Alternate interior 13. distributive Supplementary 14. symmetric Alternate exterior 15. addition Linear pair 16. subtraction 5 17. given 12 18. multiplication Symmetric 19. SAS Transitive 20. reflexive Division 21. vertical angles Symmetric 22. SSS Substitution 23. 𝑄𝑁 Division 24. AAS