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

Mrs. Rivas Lesson 1-2 Write true or false. False 2. 𝐴𝐶 and 𝐹𝐸 are coplanar . False

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

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

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

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

Mrs. Rivas 𝟏𝟐+𝟏𝟓=𝟐𝟕 Lesson 1-3 and 1-4 Use the figure at the right for Exercises 7–12. 7. If 𝐵𝐶=12 and 𝐶𝐸=15, then 𝐵𝐸= ⎕ . 𝟏𝟐+𝟏𝟓=𝟐𝟕 𝟏𝟐 𝟏𝟓

Mrs. Rivas ∠𝑩𝑪𝑨 𝑮𝑪 Lesson 1-3 and 1-4 Use the figure at the right for Exercises 7–12. 8. ⎕ is the angle bisector of ⎕. ∠𝑩𝑪𝑨 𝑮𝑪

Mrs. Rivas Lesson 1-3 and 1-4 Use the figure at the right for Exercises 7–12. 9. Algebra 𝐵𝐶 = 3𝑥 + 2 and 𝐶𝐷 = 5𝑥 − 10. Solve for 𝑥. 𝟑𝒙+𝟐 = 𝟓𝒙−𝟏𝟎 𝟑𝒙+𝟐 −𝟑𝒙 𝟓𝒙−𝟏𝟎 −𝟑𝒙 𝟐=𝟐𝒙−𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 𝟏𝟐=𝟐𝒙 𝟐 𝟐 𝟔=𝒙

Mrs. Rivas Lesson 1-3 and 1-4 Use the figure at the right for Exercises 7–12. 10. Algebra If 𝐴𝐶 = 5𝑥 − 16 and 𝐶𝐹 = 2𝑥 − 4, then 𝐴𝐹 = ⎕. 𝟓𝒙−𝟏𝟔 𝟓𝒙−𝟏𝟔 = 𝟐𝒙−𝟒 𝟓 𝟒 −𝟏𝟔=𝟒 −𝟐𝒙 −𝟐𝒙 𝟑𝒙−𝟏𝟔=− 𝟒 𝟐𝒙−𝟒 𝟐 𝟒 −𝟒=𝟒 + 𝟏𝟔 + 𝟏𝟔 𝟑𝒙=𝟏𝟐 𝟑 𝟑 𝑨𝑭=𝟒+𝟒=𝟖 𝒙=𝟒

Mrs. Rivas 𝟔𝟎°+𝟔𝟎°=𝟏𝟐𝟎° Lesson 1-3 and 1-4 Use the figure at the right for Exercises 7–12. 11. 𝑚𝐵𝐶𝐺 = 60, 𝑚𝐺𝐶𝐴 = ⎕, and 𝑚𝐵𝐶𝐴 = ⎕. 𝟔𝟎° 𝟔𝟎°+𝟔𝟎°=𝟏𝟐𝟎° 𝟔𝟎°

Mrs. Rivas ? 𝟔𝟎°−𝟐𝟎°=𝟒𝟎° Lesson 1-3 and 1-4 Use the figure at the right for Exercises 7–12. 12. 𝑚𝐴𝐶𝐷 = 60 and 𝑚𝐷𝐶𝐻 = 20. Find 𝑚𝐻𝐶𝐴. ? 𝟔𝟎°−𝟐𝟎°=𝟒𝟎° 𝟔𝟎° 𝟐𝟎°

Mrs. Rivas ? Lesson 1-3 and 1-4 𝟕𝒙−𝟒+𝟑𝟔=𝟒𝒙+𝟒𝟕 𝟕𝒙+𝟑𝟐=𝟒𝒙+𝟒𝟕 −𝟒𝒙 −𝟒𝒙 13. Algebra In the figure at the right, 𝑚𝑃𝑄𝑅 = 4𝑥 + 47. Find 𝑚𝑃𝑄𝑆. 𝟕𝒙−𝟒+𝟑𝟔=𝟒𝒙+𝟒𝟕 𝟕𝒙+𝟑𝟐=𝟒𝒙+𝟒𝟕 −𝟒𝒙 −𝟒𝒙 𝟒𝒙+𝟒𝟕 ? 𝟑𝒙+𝟑𝟐=𝟒𝟕 −𝟑𝟐 −𝟑𝟐 𝟑𝒙=𝟏𝟓 𝟑 𝟑 𝒙=𝟓 𝒎∠𝑷𝑸𝑺=𝟕𝒙−𝟒=𝟕 𝟓 −𝟒=𝟑𝟓−𝟒=𝟑𝟏

Mrs. Rivas Lesson 1-3 and 1-4 𝟒𝒙−𝟏+𝟐𝒙+𝟏=𝟖𝒙−𝟒 𝑨 𝑩 𝑪 𝟔𝒙=𝟖𝒙−𝟒 −𝟖𝒙 −𝟖𝒙 14. Algebra Points 𝐴, 𝐵, and 𝐶 are collinear with 𝐵 between 𝐴 and 𝐶. 𝐴𝐵 = 4𝑥 − 1, 𝐵𝐶 = 2𝑥 + 1, and 𝐴𝐶 = 8𝑥 − 4. Find 𝐴𝐵, 𝐵𝐶, and 𝐴𝐶. 𝟒𝒙 − 𝟏 𝟐𝒙 + 𝟏 𝟒𝒙−𝟏+𝟐𝒙+𝟏=𝟖𝒙−𝟒 𝑨 𝑩 𝑪 𝟔𝒙=𝟖𝒙−𝟒 𝟖𝒙 − 𝟒 −𝟖𝒙 −𝟖𝒙 𝑨𝑩=𝟒𝒙−𝟏=𝟒 𝟐 −𝟏=𝟕 −𝟐𝒙=−𝟒 𝑩𝑪=𝟐𝒙+𝟏=𝟐 𝟐 +𝟏=𝟓 −𝟐 −𝟐 𝒙=𝟐 𝑨𝑪=𝟖𝒙−𝟒=𝟖 𝟐 −𝟒=𝟏𝟐

Mrs. Rivas ∠𝑲𝑸𝑷 ∠𝑵𝑸𝑱 Lesson 1-5 Name the angle or angles in the diagram described by each of the following. 15. supplementary to NQK ∠𝑲𝑸𝑷 ∠𝑵𝑸𝑱

Mrs. Rivas Lesson 1-5 Name the angle or angles in the diagram described by each of the following. 16. vertical to PQM ∠𝑵𝑸𝑳

Mrs. Rivas Lesson 1-5 Name the angle or angles in the diagram described by each of the following. 17. congruent to NQJ ∠𝑲𝑸𝑷

Mrs. Rivas ∠𝑳𝑸𝑱 ∠𝑴𝑸𝑲 Lesson 1-5 Name the angle or angles in the diagram described by each of the following. 18. adjacent and congruent to JQM ∠𝑳𝑸𝑱 ∠𝑴𝑸𝑲

Mrs. Rivas ∠𝑷𝑸𝑴 ∠𝑵𝑸𝑳 Lesson 1-5 Name the angle or angles in the diagram described by each of the following. 19. complimentary to KQP ∠𝑷𝑸𝑴 ∠𝑵𝑸𝑳

Mrs. Rivas Lesson 1-5 ∠𝑋𝑌𝑍+∠𝑋𝑌𝑊=90 ∠𝑿𝒀𝒁=3𝑥+9 ∠𝑿𝒀𝑾=5𝑥+9 =3(𝟗)+9 =5(𝟗)+9 20. 𝑋𝑌𝑍 and 𝑋𝑌𝑊 are complementary angles. 𝑚𝑋𝑌𝑍 = 3𝑥 + 9 and 𝑚𝑋𝑌𝑊= 5𝑥 + 9. What are 𝑚𝑋𝑌𝑍 and 𝑚𝑋𝑌𝑊 ? ∠𝑋𝑌𝑍+∠𝑋𝑌𝑊=90 ∠𝑿𝒀𝒁=3𝑥+9 ∠𝑿𝒀𝑾=5𝑥+9 =3(𝟗)+9 =5(𝟗)+9 3𝑥+9+5𝑥+9=90 =27+9 =45+9 8𝑥+18=90 =𝟑𝟔 −18 −18 =𝟓𝟒 8𝑥=72 8 8 𝒙=𝟗

Mrs. Rivas Lesson 1-5 ∠𝐴𝐵𝐶+∠𝐷𝐸𝐹=180 ∠𝑨𝑩𝑪=𝑥 =𝟓𝟎 𝑥+3𝑥−20=180 4𝑥−20=180 21. 𝐴𝐵𝐶 and 𝐷𝐸𝐹 are supplementary angles. The measure of 𝐷𝐸𝐹 is twenty degrees less than three times the measure of 𝐴𝐵𝐶. What are 𝑚𝐴𝐵𝐶 and 𝑚𝐷𝐸𝐹? ∠𝐴𝐵𝐶+∠𝐷𝐸𝐹=180 ∠𝑨𝑩𝑪=𝑥 =𝟓𝟎 𝑥+3𝑥−20=180 4𝑥−20=180 ∠𝑫𝑬𝑭=3𝑥−20 +20 +20 =3 𝟓𝟎 −20 4𝑥=200 =150−20 4 4 =𝟏𝟑𝟎 𝒙=𝟓𝟎

? Mrs. Rivas Lesson 1-5 𝟔𝒙−𝟐 𝟐𝒙+𝟏𝟖 ∠𝑹𝑺𝑸=𝟐𝒙+𝟏𝟖 =𝟐(𝟏𝟗)+𝟏𝟖 =𝟓𝟔° 𝟐𝒙+𝟏𝟖 + 22. 𝑆𝑄 bisects 𝑅𝑆𝑇. 𝑚𝑄𝑆𝑇 = 2𝑥 + 18 and 𝑚𝑅𝑆𝑇 = 6𝑥 − 2. What is 𝑚𝑅𝑆𝑄? 𝟐𝒙+𝟏𝟖 + 𝟐𝒙+𝟏𝟖 = 𝟔𝒙−𝟐 R ? 𝟒𝒙+𝟑𝟔=𝟔𝒙−𝟐 𝟔𝒙−𝟐 − 𝟑𝟔 − 𝟑𝟔 Q S 𝟐𝒙+𝟏𝟖 𝟒𝒙=𝟔𝒙−𝟑𝟖 − 𝟔𝒙 − 𝟔𝒙 T −𝟐𝒙=−𝟑𝟖 ∠𝑹𝑺𝑸=𝟐𝒙+𝟏𝟖 −𝟐 −𝟐 =𝟐(𝟏𝟗)+𝟏𝟖 𝒙=𝟏𝟗 =𝟓𝟔°