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. 𝐴𝐶 and 𝐹𝐸 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 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

8. 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

9. 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

10. 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

11. 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°

12. 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°

13. 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 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

14. 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

15. 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

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

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

18. 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

19. 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

20. 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

21. 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

22. ? 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 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°