Answer Key
Chapter 6 – Geometry and Transformations 6.1
Identify Angle Pairs
Answers 1. 35°
2. 57°
3. 7°
4. 17°
5. 170°
6. 100°
7. 150°
8. 165°
9. 68°
10. 178°
11. False
12. True
13. False
14. True
15. True
6.2
Identify Adjacent and Vertical Angles
Answers 1. Vertical
2. Adjacent
3. Adjacent
4. Vertical
5. Neither
6. 63°
7. True
8. 18°
9. 162°
10. Vertical angles
11. True
12. False
13. True
14. False
15. False
16. True
6.3
Identify Types of Lines
Answers 1. Parallel 2. Intersecting 3. Perpendicular 4. Intersecting 5. Lines that are equidistant apart and will never intersect. 6. Lines that cross at one point 7. Lines that cross at a 90 degree angle 8. 9. 10. Intersecting or Perpendicular lines – it depends on the angle of the intersection 11. Perpendicular 12. Yes 13. Intersecting 14. Perpendicular 15. Parallel
CK‐12 Middle School Math Concepts ‐ Grade 8
1
Answer Key
Chapter 6 – Geometry and Transformations 6.4
Measures of Angle Pairs
Answers 1. 45°
2. 7°
3. 57°
4. 37°
5. 140°
6. 105°
7. 70°
8. 55°
9. 170°
10. 23°
11. Vertical angles are opposite each other and have the same measure. 12. Adjacent angles are next to each other. 13. Complementary angles have a sum of 90 degrees. 14. Supplementary angles have sum of 180 degrees. 15. Interior angles are formed when parallel lines are intersected by a transversal. They are found “inside” the lines.
6.5
Classifying Triangles
Answers 1. Equiangular
2. Obtuse
3. Right triangle
4. Obtuse triangle
5. Acute triangle
6.Right triangle
7. Acute triangle
8. Obtuse triangle
9. Isosceles triangle
10. scalene triangle
11. Equilateral triangle
12. Isosceles triangle
13. Scalene triangle
14. equilateral triangle
15. Equilateral triangle
6.6
Understanding the Angle Measures of Triangles
Answers 1. 90°
2. 60°
3. 40°
4. 40°
5. 40°
6. 120°
7. 20°
8. 80°
9. 75°
10. 80°
11. 75°
12. 87°
13 – 15 Answers vary.
CK‐12 Middle School Math Concepts ‐ Grade 8
2
Answer Key
Chapter 6 – Geometry and Transformations 6.7
Classifying Quadrilaterals
Answers 1. Square
2. Parallelogram
3. Rectangle
4. Quadrilateral
5. Rhombus
6. True
7. True
8. False
9. True
10. True
11. True
12. False
13. False
14. 360°
15. 90°
16. 90°
6.8
Understanding the Angle Measures of Quadrilaterals
Answers 1. 60°
2. 110°
3. 128°
4. 138°
5. 100°
6. 70°
7. 131°
8. 80°
9. 122°
10. 165°
11. 90°
12. 25°
13. 80°
14. 80°
15. 135°
6.9
Identifying Polygons
Answers 1. True
2. False
3. False
4. False
5. True
6. True
7. Regular hexagon
8. Irregular octagon
9. Regular octagon
10. Irregular pentagon
11. regular pentagon
12. Irregular decagon
13. 720°
14. 1080°
15. 180°
16. 360°
17. 1440°
6.10
Recognize and Understand Congruent Polygons
Answers 1. False
2. Ture
3. True
4. True
5. False
6. True
7. True
8. False
9. True
10. False
11. Angle G
12. Angle A
13. False
14. True
15. Irregular Pentagon
CK‐12 Middle School Math Concepts ‐ Grade 8
3
Answer Key
Chapter 6 – Geometry and Transformations 6.11
Identify and Apply Theorems to Triangle Congruence
Answers 1. Angle D
2. Angle E
3. Angle F
4. DE
5. EF
6. DF
7. DF
8. Angle D
9. Angle E
10. Yes
11. Yes
12. B and E
13. SSS
14. SAS
15. AAS
6.12
Recognizing Reflections
Answers 1. Reflection
2. Coordinate Plane
3. x axis
4. y axis
5. (1, ‐3)(2, ‐5)(3, ‐2)
6. (2, ‐1)(5, ‐1)(2, ‐4)
7. (‐1,‐1)(‐1, ‐3)(‐4,‐1)
8. (1, ‐2)(6, ‐1)(6, ‐3)(2, ‐3)
9. (1,‐2)(6, ‐1)(6, ‐3)(2, ‐3)
10. (‐1,‐3)(‐3,‐1)(‐5,‐1)(‐4,‐6)
11. (‐1,3)(‐2,5)(‐3,2)
12. (1,1)(1,3)(4,1)
13. (‐2,1)(‐5,1)(‐2,4)
14. (‐1,2)(‐1,5)(‐5,2)(‐5,5)
15. (1,3)(3,1)(5,1)(4,6)
6.13
Identify Lines of Symmetry
Answers 1. Yes
2. Yes
3. One
4. Eight
5. Zero
6. One
7. One
8. One
9. one
10. Zero
11. Two
12. False
13. True
14. True
15. False
CK‐12 Middle School Math Concepts ‐ Grade 8
4
Answer Key
Chapter 6 – Geometry and Transformations 6.14
Recognizing Translation Transformations
Answers 1. Translation or slide
2. (3, ‐1)(7,‐5)(‐2,‐2)
3. (‐1,4)(3,0)(‐6,3)
4. To the left
5. 4 units
6. Up
7. 5 units
8. (‐3,10)(1,8)(‐3,7)
9.(6,3)(10,1)(6,0)
10. Right
11. 9 units
12. Down
13. 7 units
14. True
15. False
6.15
Recognizing Rotation Transformations
Answers
1. Translation is the slide of a figure across the coordinate plane. 2. Rotation is the turning of a figure on the coordinate plane. 3. Tessellation is a figure that creates a pattern with on gaps. 4. False 5. False 6. True 7. True 8. x coordinate 9. y coordinate 10. True 11. (4, 4)(2, 4)(1, 1) 12. (4,4)(2,4)(1,1) 13. (4, 4)(4,2)(1,1) 14. (3, 1)(1,5)(3,5) 15. (3,1)(1,5)(3,5) 16. (1,3)(5,1)(5,3)
CK‐12 Middle School Math Concepts ‐ Grade 8
5
Answer Key
Chapter 6 – Geometry and Transformations 6.16
Identify Tessellations
Answers
1. No
2. Yes
3. Yes
4. Yes
5. Yes
6. Yes
7. No
8. No
9. Yes
10. No
11. No
12. Yes
13. yes
14. No
15. Yes
6.17
Recognizing Similarity
Answers
1. Yes
2. Yes
3. Yes
4. No
5. Yes
6. No
7. yes
8. No
9. 18
10. 20
11. 5
12. 3
13. 30
14. 7.5
15. 4
6.18
Recognizing Dilations
Answers
1. 8, 10, 18
2. 12, 15, 27
3. 16, 20, 36
4. 16, 20, 28
5. 32, 40, 56
6. 4, 8, 12
7. 2, 3, 4, 5
8. 3, 4, 5,6
9. 8, 12, 16, 20
10. 12, 18, 24, 30
11. 16, 24, 32, 40
12. 3, 4,6,8
13. 18, 24, 36, 48
14. 27,36,54, 72
15. 2, 3, 4, 6
16. 4.5, 6, 9, 12
CK‐12 Middle School Math Concepts ‐ Grade 8
6