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Mrs. Rivas Lesson 1-2 Write true or false. True

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Presentation on theme: "Mrs. Rivas Lesson 1-2 Write true or false. True"โ€” Presentation transcript:

1 Mrs. Rivas Lesson 1-2 Write true or false. True
1. A, D, F are coplanar. True

2 Mrs. Rivas Lesson 1-2 Write true or false. False
2. ๐ด๐ถ and ๐น๐ธ are coplanar . False

3 Mrs. Rivas Lesson 1-2 Write true or false. True
3. A, B, E are coplanar. . True

4 Mrs. Rivas Lesson 1-2 Write true or false. True
4. D, A, B, E are coplanar. True

5 Mrs. Rivas Lesson 1-2 Write true or false. True
5. A and C are collinear. True

6 Mrs. Rivas Lesson 1-2 Write true or false. False
6. D, E, and B are collinear. False

7 Mrs. Rivas ๐Ÿ๐Ÿ+๐Ÿ๐Ÿ“=๐Ÿ๐Ÿ• Lesson 1-3 and 1-4
Use the figure at the right for Exercises 7โ€“12. 7. If ๐ต๐ถ=12 and ๐ถ๐ธ=15, then ๐ต๐ธ= โŽ• . ๐Ÿ๐Ÿ+๐Ÿ๐Ÿ“=๐Ÿ๐Ÿ• ๐Ÿ๐Ÿ ๐Ÿ๐Ÿ“

8 Mrs. Rivas โˆ ๐‘ฉ๐‘ช๐‘จ ๐‘ฎ๐‘ช Lesson 1-3 and 1-4
Use the figure at the right for Exercises 7โ€“12. 8. โŽ• is the angle bisector of โŽ•. โˆ ๐‘ฉ๐‘ช๐‘จ ๐‘ฎ๐‘ช

9 Mrs. Rivas Lesson 1-3 and 1-4 Use the figure at the right for Exercises 7โ€“12. 9. Algebra ๐ต๐ถ = 3๐‘ฅ + 2 and ๐ถ๐ท = 5๐‘ฅ โˆ’ 10. Solve for ๐‘ฅ. ๐Ÿ‘๐’™+๐Ÿ = ๐Ÿ“๐’™โˆ’๐Ÿ๐ŸŽ ๐Ÿ‘๐’™+๐Ÿ โˆ’๐Ÿ‘๐’™ ๐Ÿ“๐’™โˆ’๐Ÿ๐ŸŽ โˆ’๐Ÿ‘๐’™ ๐Ÿ=๐Ÿ๐’™โˆ’๐Ÿ๐ŸŽ + ๐Ÿ๐ŸŽ + ๐Ÿ๐ŸŽ ๐Ÿ๐Ÿ=๐Ÿ๐’™ ๐Ÿ ๐Ÿ ๐Ÿ”=๐’™

10 Mrs. Rivas Lesson 1-3 and 1-4 Use the figure at the right for Exercises 7โ€“12. 10. Algebra If ๐ด๐ถ = 5๐‘ฅ โˆ’ 16 and ๐ถ๐น = 2๐‘ฅ โˆ’ 4, then ๐ด๐น = โŽ•. ๐Ÿ“๐’™โˆ’๐Ÿ๐Ÿ” ๐Ÿ“๐’™โˆ’๐Ÿ๐Ÿ” = ๐Ÿ๐’™โˆ’๐Ÿ’ ๐Ÿ“ ๐Ÿ’ โˆ’๐Ÿ๐Ÿ”=๐Ÿ’ โˆ’๐Ÿ๐’™ โˆ’๐Ÿ๐’™ ๐Ÿ‘๐’™โˆ’๐Ÿ๐Ÿ”=โˆ’ ๐Ÿ’ ๐Ÿ๐’™โˆ’๐Ÿ’ ๐Ÿ ๐Ÿ’ โˆ’๐Ÿ’=๐Ÿ’ + ๐Ÿ๐Ÿ” + ๐Ÿ๐Ÿ” ๐Ÿ‘๐’™=๐Ÿ๐Ÿ ๐Ÿ‘ ๐Ÿ‘ ๐‘จ๐‘ญ=๐Ÿ’+๐Ÿ’=๐Ÿ– ๐’™=๐Ÿ’

11 Mrs. Rivas ๐Ÿ”๐ŸŽยฐ+๐Ÿ”๐ŸŽยฐ=๐Ÿ๐Ÿ๐ŸŽยฐ Lesson 1-3 and 1-4
Use the figure at the right for Exercises 7โ€“12. 11. ๐‘š๏ƒ๐ต๐ถ๐บ = 60, ๐‘š๏ƒ๐บ๐ถ๐ด = โŽ•, and ๐‘š๏ƒ๐ต๐ถ๐ด = โŽ•. ๐Ÿ”๐ŸŽยฐ ๐Ÿ”๐ŸŽยฐ+๐Ÿ”๐ŸŽยฐ=๐Ÿ๐Ÿ๐ŸŽยฐ ๐Ÿ”๐ŸŽยฐ

12 Mrs. Rivas ? ๐Ÿ”๐ŸŽยฐโˆ’๐Ÿ๐ŸŽยฐ=๐Ÿ’๐ŸŽยฐ Lesson 1-3 and 1-4
Use the figure at the right for Exercises 7โ€“12. 12. ๐‘š๏ƒ๐ด๐ถ๐ท = 60 and ๐‘š๏ƒ๐ท๐ถ๐ป = 20. Find ๐‘š๏ƒ๐ป๐ถ๐ด. ? ๐Ÿ”๐ŸŽยฐโˆ’๐Ÿ๐ŸŽยฐ=๐Ÿ’๐ŸŽยฐ ๐Ÿ”๐ŸŽยฐ ๐Ÿ๐ŸŽยฐ

13 Mrs. Rivas ? Lesson 1-3 and 1-4 ๐Ÿ•๐’™โˆ’๐Ÿ’+๐Ÿ‘๐Ÿ”=๐Ÿ’๐’™+๐Ÿ’๐Ÿ• ๐Ÿ•๐’™+๐Ÿ‘๐Ÿ=๐Ÿ’๐’™+๐Ÿ’๐Ÿ• โˆ’๐Ÿ’๐’™ โˆ’๐Ÿ’๐’™
13. Algebra In the figure at the right, ๐‘š๏ƒ๐‘ƒ๐‘„๐‘… = 4๐‘ฅ Find ๐‘š๏ƒ๐‘ƒ๐‘„๐‘†. ๐Ÿ•๐’™โˆ’๐Ÿ’+๐Ÿ‘๐Ÿ”=๐Ÿ’๐’™+๐Ÿ’๐Ÿ• ๐Ÿ•๐’™+๐Ÿ‘๐Ÿ=๐Ÿ’๐’™+๐Ÿ’๐Ÿ• โˆ’๐Ÿ’๐’™ โˆ’๐Ÿ’๐’™ ๐Ÿ’๐’™+๐Ÿ’๐Ÿ• ? ๐Ÿ‘๐’™+๐Ÿ‘๐Ÿ=๐Ÿ’๐Ÿ• โˆ’๐Ÿ‘๐Ÿ โˆ’๐Ÿ‘๐Ÿ ๐Ÿ‘๐’™=๐Ÿ๐Ÿ“ ๐Ÿ‘ ๐Ÿ‘ ๐’™=๐Ÿ“ ๐’Žโˆ ๐‘ท๐‘ธ๐‘บ=๐Ÿ•๐’™โˆ’๐Ÿ’=๐Ÿ• ๐Ÿ“ โˆ’๐Ÿ’=๐Ÿ‘๐Ÿ“โˆ’๐Ÿ’=๐Ÿ‘๐Ÿ

14 Mrs. Rivas Lesson 1-3 and 1-4 ๐Ÿ’๐’™โˆ’๐Ÿ+๐Ÿ๐’™+๐Ÿ=๐Ÿ–๐’™โˆ’๐Ÿ’ ๐‘จ ๐‘ฉ ๐‘ช ๐Ÿ”๐’™=๐Ÿ–๐’™โˆ’๐Ÿ’ โˆ’๐Ÿ–๐’™ โˆ’๐Ÿ–๐’™
14. Algebra Points ๐ด, ๐ต, and ๐ถ are collinear with ๐ต between ๐ด and ๐ถ. ๐ด๐ต = 4๐‘ฅ โˆ’ 1, ๐ต๐ถ = 2๐‘ฅ + 1, and ๐ด๐ถ = 8๐‘ฅ โˆ’ 4. Find ๐ด๐ต, ๐ต๐ถ, and ๐ด๐ถ. ๐Ÿ’๐’™ โˆ’ ๐Ÿ ๐Ÿ๐’™ + ๐Ÿ ๐Ÿ’๐’™โˆ’๐Ÿ+๐Ÿ๐’™+๐Ÿ=๐Ÿ–๐’™โˆ’๐Ÿ’ ๐‘จ ๐‘ฉ ๐‘ช ๐Ÿ”๐’™=๐Ÿ–๐’™โˆ’๐Ÿ’ ๐Ÿ–๐’™ โˆ’ ๐Ÿ’ โˆ’๐Ÿ–๐’™ โˆ’๐Ÿ–๐’™ ๐‘จ๐‘ฉ=๐Ÿ’๐’™โˆ’๐Ÿ=๐Ÿ’ ๐Ÿ โˆ’๐Ÿ=๐Ÿ• โˆ’๐Ÿ๐’™=โˆ’๐Ÿ’ ๐‘ฉ๐‘ช=๐Ÿ๐’™+๐Ÿ=๐Ÿ ๐Ÿ +๐Ÿ=๐Ÿ“ โˆ’๐Ÿ โˆ’๐Ÿ ๐’™=๐Ÿ ๐‘จ๐‘ช=๐Ÿ–๐’™โˆ’๐Ÿ’=๐Ÿ– ๐Ÿ โˆ’๐Ÿ’=๐Ÿ๐Ÿ

15 Mrs. Rivas โˆ ๐‘ฒ๐‘ธ๐‘ท โˆ ๐‘ต๐‘ธ๐‘ฑ Lesson 1-5
Name the angle or angles in the diagram described by each of the following. 15. supplementary to ๏ƒNQK โˆ ๐‘ฒ๐‘ธ๐‘ท โˆ ๐‘ต๐‘ธ๐‘ฑ

16 Mrs. Rivas Lesson 1-5 Name the angle or angles in the diagram described by each of the following. 16. vertical to ๏ƒPQM โˆ ๐‘ต๐‘ธ๐‘ณ

17 Mrs. Rivas Lesson 1-5 Name the angle or angles in the diagram described by each of the following. 17. congruent to ๏ƒNQJ โˆ ๐‘ฒ๐‘ธ๐‘ท

18 Mrs. Rivas โˆ ๐‘ณ๐‘ธ๐‘ฑ โˆ ๐‘ด๐‘ธ๐‘ฒ Lesson 1-5
Name the angle or angles in the diagram described by each of the following. 18. adjacent and congruent to ๏ƒJQM โˆ ๐‘ณ๐‘ธ๐‘ฑ โˆ ๐‘ด๐‘ธ๐‘ฒ

19 Mrs. Rivas โˆ ๐‘ท๐‘ธ๐‘ด โˆ ๐‘ต๐‘ธ๐‘ณ Lesson 1-5
Name the angle or angles in the diagram described by each of the following. 19. complimentary to ๏ƒKQP โˆ ๐‘ท๐‘ธ๐‘ด โˆ ๐‘ต๐‘ธ๐‘ณ

20 Mrs. Rivas Lesson 1-5 โˆ ๐‘‹๐‘Œ๐‘+โˆ ๐‘‹๐‘Œ๐‘Š=90 โˆ ๐‘ฟ๐’€๐’=3๐‘ฅ+9 โˆ ๐‘ฟ๐’€๐‘พ=5๐‘ฅ+9 =3(๐Ÿ—)+9 =5(๐Ÿ—)+9
20. ๏ƒ๐‘‹๐‘Œ๐‘ and ๏ƒ๐‘‹๐‘Œ๐‘Š are complementary angles. ๐‘š๏ƒ๐‘‹๐‘Œ๐‘ = 3๐‘ฅ + 9 and ๐‘š๏ƒ๐‘‹๐‘Œ๐‘Š= 5๐‘ฅ + 9. What are ๐‘š๏ƒ๐‘‹๐‘Œ๐‘ and ๐‘š๏ƒ๐‘‹๐‘Œ๐‘Š ? โˆ ๐‘‹๐‘Œ๐‘+โˆ ๐‘‹๐‘Œ๐‘Š=90 โˆ ๐‘ฟ๐’€๐’=3๐‘ฅ+9 โˆ ๐‘ฟ๐’€๐‘พ=5๐‘ฅ+9 =3(๐Ÿ—)+9 =5(๐Ÿ—)+9 3๐‘ฅ+9+5๐‘ฅ+9=90 =27+9 =45+9 8๐‘ฅ+18=90 =๐Ÿ‘๐Ÿ” โˆ’18 โˆ’18 =๐Ÿ“๐Ÿ’ 8๐‘ฅ=72 8 8 ๐’™=๐Ÿ—

21 Mrs. Rivas Lesson 1-5 โˆ ๐ด๐ต๐ถ+โˆ ๐ท๐ธ๐น=180 โˆ ๐‘จ๐‘ฉ๐‘ช=๐‘ฅ =๐Ÿ“๐ŸŽ ๐‘ฅ+3๐‘ฅโˆ’20=180 4๐‘ฅโˆ’20=180
21. ๏ƒ๐ด๐ต๐ถ and ๏ƒ๐ท๐ธ๐น are supplementary angles. The measure of ๏ƒ๐ท๐ธ๐น is twenty degrees less than three times the measure of ๏ƒ๐ด๐ต๐ถ. What are ๐‘š๏ƒ๐ด๐ต๐ถ and ๐‘š๏ƒ๐ท๐ธ๐น? โˆ ๐ด๐ต๐ถ+โˆ ๐ท๐ธ๐น=180 โˆ ๐‘จ๐‘ฉ๐‘ช=๐‘ฅ =๐Ÿ“๐ŸŽ ๐‘ฅ+3๐‘ฅโˆ’20=180 4๐‘ฅโˆ’20=180 โˆ ๐‘ซ๐‘ฌ๐‘ญ=3๐‘ฅโˆ’20 +20 +20 =3 ๐Ÿ“๐ŸŽ โˆ’20 4๐‘ฅ=200 =150โˆ’20 4 4 =๐Ÿ๐Ÿ‘๐ŸŽ ๐’™=๐Ÿ“๐ŸŽ

22 ? Mrs. Rivas Lesson 1-5 ๐Ÿ”๐’™โˆ’๐Ÿ ๐Ÿ๐’™+๐Ÿ๐Ÿ– โˆ ๐‘น๐‘บ๐‘ธ=๐Ÿ๐’™+๐Ÿ๐Ÿ– =๐Ÿ(๐Ÿ๐Ÿ—)+๐Ÿ๐Ÿ– =๐Ÿ“๐Ÿ”ยฐ ๐Ÿ๐’™+๐Ÿ๐Ÿ– +
22. ๐‘†๐‘„ bisects ๏ƒ๐‘…๐‘†๐‘‡. ๐‘š๏ƒ๐‘„๐‘†๐‘‡ = 2๐‘ฅ and ๐‘š๏ƒ๐‘…๐‘†๐‘‡ = 6๐‘ฅ โˆ’ 2. What is ๐‘š๏ƒ๐‘…๐‘†๐‘„? ๐Ÿ๐’™+๐Ÿ๐Ÿ– + ๐Ÿ๐’™+๐Ÿ๐Ÿ– = ๐Ÿ”๐’™โˆ’๐Ÿ R ? ๐Ÿ’๐’™+๐Ÿ‘๐Ÿ”=๐Ÿ”๐’™โˆ’๐Ÿ ๐Ÿ”๐’™โˆ’๐Ÿ โˆ’ ๐Ÿ‘๐Ÿ” โˆ’ ๐Ÿ‘๐Ÿ” Q S ๐Ÿ๐’™+๐Ÿ๐Ÿ– ๐Ÿ’๐’™=๐Ÿ”๐’™โˆ’๐Ÿ‘๐Ÿ– โˆ’ ๐Ÿ”๐’™ โˆ’ ๐Ÿ”๐’™ T โˆ’๐Ÿ๐’™=โˆ’๐Ÿ‘๐Ÿ– โˆ ๐‘น๐‘บ๐‘ธ=๐Ÿ๐’™+๐Ÿ๐Ÿ– โˆ’๐Ÿ โˆ’๐Ÿ =๐Ÿ(๐Ÿ๐Ÿ—)+๐Ÿ๐Ÿ– ๐’™=๐Ÿ๐Ÿ— =๐Ÿ“๐Ÿ”ยฐ


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