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Parallel Lines & Transversals and Proofs

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Presentation on theme: "Parallel Lines & Transversals and Proofs"β€” Presentation transcript:

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

2 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 𝑸𝑡

3 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

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

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

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

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

8 5. Solve for x. Back

9 6. Solve for x. Back

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

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

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

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

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

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

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

17 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

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

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

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

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

22 What is the missing reason?
19. 𝐴𝐢 β‰… 𝐸𝐢 Given 𝐡𝐢 β‰… 𝐷𝐢 Given <𝐴𝐢𝐡≅ <𝐸𝐢𝐷 Vertical Angles are congruent βˆ†π΄π΅πΆ β‰… βˆ†πΈπ·πΆ ? Back

23 What is the missing reason?
20. 𝐽𝐾 β‰… 𝑁𝐾 Given 𝐴𝐾 bisects 𝐽𝑁 Given 𝐽𝐴 β‰… 𝑁𝐴 Definition of Segment bisector 𝐴𝐾 β‰… 𝐴𝐾 ? βˆ†π½π΄πΎ β‰… βˆ†π‘π΄πΎ SSS Congruence Back

24 What is the missing reason?
21. AP = 5, DP = 5 Given <𝐴 β‰… <𝐷 Given <𝐴𝑃𝐡 β‰… <𝐷𝑃𝐢 ? βˆ†π΄π΅π‘ƒ β‰… βˆ†π·πΆπ‘ƒ ASA Congruence Back

25 What is the missing reason?
22. 𝐢𝐡 β‰… 𝐴𝐷 Given 𝐴𝐡 β‰… 𝐢𝐷 Given 𝐴𝐢 β‰… 𝐴𝐢 Reflexive Property βˆ†π΄π΅πΆ β‰… βˆ†πΆπ·π΄ ? Back

26 What is the missing reason?
23. ∠QMN β‰… ∠QPN Given ∠QNM β‰… ∠QNP Given ? β‰… 𝑄𝑁 Reflexive Property βˆ†QMN β‰… βˆ†QPN AAS Congruence Back

27 What is the missing reason?
24. ∠JNK β‰… ∠MLK Given JK β‰… MK Given ∠JKN β‰… ∠MKL Vertical Angles βˆ†JNK β‰…βˆ†MLK ? Back

28 Answers Alternate interior 13. distributive
Supplementary symmetric Alternate exterior addition Linear pair subtraction given multiplication Symmetric SAS Transitive reflexive Division vertical angles Symmetric SSS Substitution 𝑄𝑁 Division AAS


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