Mrs. Rivas Lesson 1-2 Write true or false. 1. A, D, F are coplanar. True.
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H om ew ork Mrs. Rivas Lesson 1- 2 Write true or false. 1. A, D, F are coplanar. True
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Transcript of Mrs. Rivas Lesson 1-2 Write true or false. 1. A, D, F are coplanar. True.
HomeworkMrs. Rivas
Lesson 1-2
Write true or false.
1. A, D, F are coplanar.
True
HomeworkMrs. Rivas
Lesson 1-2
Write true or false.
2. and are coplanar .
False
HomeworkMrs. Rivas
Lesson 1-2
Write true or false.
3. A, B, E are coplanar. .
True
HomeworkMrs. Rivas
Lesson 1-2
Write true or false.
4. D, A, B, E are coplanar.
True
HomeworkMrs. Rivas
Lesson 1-2
Write true or false.
5. A and C are collinear.
True
HomeworkMrs. Rivas
Lesson 1-2
Write true or false.
6. D, E, and B are collinear.
False
HomeworkMrs. Rivas
Lesson 1-3 and 1-4Use the figure at the right for Exercises 7–12.
7. If and , then ⎕ .
𝟏𝟐 𝟏𝟓𝟏𝟐+𝟏𝟓=𝟐𝟕
HomeworkMrs. Rivas
Lesson 1-3 and 1-4Use the figure at the right for Exercises 7–12.
8. is the angle bisector of ⎕ ⎕.
𝑮𝑪 ∠𝑩𝑪𝑨
HomeworkMrs. Rivas
Lesson 1-3 and 1-4Use the figure at the right for Exercises 7–12.
9. Algebra and . Solve for .
𝟑 𝒙+𝟐𝟓 𝒙−𝟏𝟎𝟑 𝒙+𝟐¿𝟓 𝒙−𝟏𝟎−𝟑 𝒙 −𝟑 𝒙𝟐=𝟐 𝒙−𝟏𝟎
+𝟏𝟎+𝟏𝟎𝟏𝟐=𝟐 𝒙
𝟐𝟐𝟔=𝒙
HomeworkMrs. Rivas
Lesson 1-3 and 1-4Use the figure at the right for Exercises 7–12.
10. Algebra If and , then .⎕
𝟓 𝒙−𝟏𝟔
𝟐 𝒙−𝟒
𝟓 𝒙−𝟏𝟔¿𝟐 𝒙−𝟒−𝟐 𝒙 −𝟐 𝒙𝟑 𝒙−𝟏𝟔=−𝟒
+𝟏𝟔+𝟏𝟔𝟑 𝒙=𝟏𝟐
𝟑𝟑𝒙=𝟒
𝟓 (𝟒 )−𝟏𝟔=𝟒
𝟐 (𝟒 )−𝟒=𝟒
𝑨𝑭=𝟒+𝟒=𝟖
HomeworkMrs. Rivas
Lesson 1-3 and 1-4Use the figure at the right for Exercises 7–12.
11. , , and .⎕ ⎕
𝟔𝟎°𝟔𝟎°𝟔𝟎°+𝟔𝟎°=𝟏𝟐𝟎°
HomeworkMrs. Rivas
Lesson 1-3 and 1-4Use the figure at the right for Exercises 7–12.
12. and . Find .𝟔𝟎°𝟐𝟎°
?𝟔𝟎° −𝟐𝟎°=𝟒𝟎°
HomeworkMrs. Rivas
Lesson 1-3 and 1-413. Algebra In the figure at the right, . Find .
𝟒𝒙+𝟒𝟕?
𝟕 𝒙−𝟒+𝟑𝟔=𝟒 𝒙+𝟒𝟕𝟕 𝒙+𝟑𝟐=𝟒 𝒙+𝟒𝟕
−𝟒 𝒙−𝟒 𝒙𝟑 𝒙+𝟑𝟐=𝟒𝟕−𝟑𝟐−𝟑𝟐𝟑 𝒙=𝟏𝟓
𝟑𝟑𝒙=𝟓
𝒎∠𝑷𝑸𝑺=𝟕 𝒙−𝟒=𝟕 (𝟓 )−𝟒=𝟑𝟓−𝟒=𝟑𝟏
HomeworkMrs. Rivas
Lesson 1-3 and 1-414. Algebra Points , , and are collinear with between and . , , and . Find , , and .
𝑨 𝑩 𝑪𝟒 𝒙−𝟏 𝟐 𝒙+𝟏
𝟖 𝒙−𝟒
𝟒 𝒙−𝟏+𝟐 𝒙+𝟏=𝟖 𝒙−𝟒𝟔 𝒙=𝟖 𝒙−𝟒
−𝟖 𝒙−𝟖 𝒙−𝟐 𝒙=−𝟒
−𝟐−𝟐𝒙=𝟐
𝑨𝑩=𝟒 𝒙−𝟏=𝟒 (𝟐 )−𝟏=𝟕
𝑩𝑪=𝟐 𝒙+𝟏=𝟐 (𝟐 )+𝟏=𝟓
𝑨𝑪=𝟖 𝒙−𝟒=𝟖 (𝟐 )−𝟒=𝟏𝟐
HomeworkMrs. Rivas
Lesson 1-5
Name the angle or angles in the diagram described by each of the following.
15. supplementary to NQK
∠𝑲𝑸𝑷∠𝑵𝑸𝑱
HomeworkMrs. Rivas
Lesson 1-5
Name the angle or angles in the diagram described by each of the following.
16. vertical to PQM
∠𝑵𝑸𝑳
HomeworkMrs. Rivas
Lesson 1-5
Name the angle or angles in the diagram described by each of the following.
17. congruent to NQJ
∠𝑲𝑸𝑷
HomeworkMrs. Rivas
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
HomeworkMrs. Rivas
Lesson 1-5
Name the angle or angles in the diagram described by each of the following.
19. complimentary to KQP
∠𝑷𝑸𝑴∠𝑵𝑸𝑳
HomeworkMrs. Rivas
Lesson 1-5
20. and are complementary angles. and . What are and ?
∠𝑋𝑌𝑍+∠𝑋𝑌𝑊=903 𝑥+9+5 𝑥+9=90
8 𝑥+18=90−18−18
8 𝑥=7288
𝒙=𝟗
∠𝑿𝒀𝒁=3𝑥+9¿3 (𝟗)+9¿27+9¿𝟑𝟔
∠𝑿𝒀𝑾=5 𝑥+9¿5 (𝟗)+9¿ 45+9¿𝟓𝟒
HomeworkMrs. Rivas
Lesson 1-5
21. and are supplementary angles. The measure of is twenty degrees less than three times the measure of . What are and ?
∠𝐴𝐵𝐶+∠𝐷𝐸𝐹=180 ∠𝑨𝑩𝑪=𝑥
∠𝑫𝑬𝑭=3 𝑥−20𝑥+3𝑥−20=1804 𝑥−20=180
+20+204 𝑥=200
44𝒙=𝟓𝟎
¿𝟓𝟎
¿3 (𝟓𝟎 )−20¿150−20¿𝟏𝟑𝟎
HomeworkMrs. Rivas
Lesson 1-5
22. bisects . and . What is ?
R
S
T
Q
𝟐 𝒙+𝟏𝟖
𝟔𝒙−𝟐?𝟐 𝒙+𝟏𝟖+¿𝟐 𝒙+𝟏𝟖¿𝟔 𝒙−𝟐
𝟒 𝒙+𝟑𝟔=𝟔 𝒙−𝟐−𝟑𝟔 −𝟑𝟔𝟒 𝒙=𝟔 𝒙−𝟑𝟖−𝟔 𝒙−𝟔 𝒙−𝟐 𝒙=−𝟑𝟖
−𝟐−𝟐𝒙=𝟏𝟗
∠𝑹𝑺𝑸=𝟐 𝒙+𝟏𝟖¿𝟐(𝟏𝟗)+𝟏𝟖¿𝟓𝟔°
