1. Key Concept: Undefined Terms Example 1: Name Lines and Planes
Five-Minute Check
CCSS
Then/Now
New Vocabulary
Key Concept: Undefined Terms
Example 1: Name Lines and Planes
Example 2: Real-World Example: Model Points, Lines, and Planes
Example 3: Draw Geometric Figures
Example 4: Interpret Drawings
Lesson Menu

2. Mathematical Practices 4 Model with mathematics.
Content Standards
G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Mathematical Practices
4 Model with mathematics.
6 Attend to precision.
CCSS

3. We used basic geometric concepts and properties to solve problems.
SWBAT use mathematical vocabulary (key terms in geometry) IOT describe transformations in the coordinate plane
Then/Now

4. undefined term coplanar intersection defined term point line space
Please use your resources to define the terms using the model displayed on the board.
undefined term
coplanar
intersection
defined term
space
point
line
plane
collinear
Vocabulary

5. Concept

6. A. Use the figure to name a line containing point K.
Guided Practice: Name Lines and Planes
A. Use the figure to name a line containing point K.
Answer:
Example 1

7. A. Use the figure to name a line containing point K.
Name Lines and Planes
A. Use the figure to name a line containing point K.
Answer: The line can be named as line a.
There are three points on the line. Any two of the points can be used to name the line.
Example 1

8. B. Use the figure to name a plane containing point L.
Name Lines and Planes
B. Use the figure to name a plane containing point L.
Answer:
Example 1

9. B. Use the figure to name a plane containing point L.
Name Lines and Planes
B. Use the figure to name a plane containing point L.
You can also use the letters of any three noncollinear points to name the plane. plane JKM plane KLM plane JLM
Answer: The plane can be named as plane B.
Example 1

10. Name Lines and Planes
The letters of each of these names can be reordered to create other acceptable names for this plane. For example, JKM can also be written as JMK, MKJ, KJM, KMJ, and MJK. There are 15 different three-letter names for this plane.
Example 1

11. A. Use the figure to name a line containing the point X.
A. line X
B. line c
C. line Z D.
Example 1a

12. A. Use the figure to name a line containing the point X.
A. line X
B. line c
C. line Z D.
Example 1a

13. B. Use the figure to name a plane containing point Z.
A. plane XY
B. plane c
C. plane XQY
D. plane P
Example 1b

14. B. Use the figure to name a plane containing point Z.
A. plane XY
B. plane c
C. plane XQY
D. plane P
Example 1b

15. A. Name the geometric shape modeled by a 10  12 patio.
Guided Practice: Model Points, Lines, and Planes
A. Name the geometric shape modeled by a 10  12 patio.
Answer:
Example 2

16. A. Name the geometric shape modeled by a 10  12 patio.
Model Points, Lines, and Planes
A. Name the geometric shape modeled by a 10  12 patio.
Answer: The patio models a plane.
Example 2

17. B. Name the geometric shape modeled by a button on a table.
Model Points, Lines, and Planes
B. Name the geometric shape modeled by a button on a table.
Answer:
Example 2

18. B. Name the geometric shape modeled by a button on a table.
Model Points, Lines, and Planes
B. Name the geometric shape modeled by a button on a table.
Answer: The button on the table models a point on a plane.
Example 2

19. A. Name the geometric shape modeled by a colored dot on a map used to mark the location of a city.
A. point
B. line segment
C. plane
D. none of the above
Example 2a

20. A. Name the geometric shape modeled by a colored dot on a map used to mark the location of a city.
A. point
B. line segment
C. plane
D. none of the above
Example 2a

21. B. Name the geometric shape modeled by the ceiling of your classroom.
A. point
B. line segment
C. plane
D. none of the above
Example 2b

22. B. Name the geometric shape modeled by the ceiling of your classroom.
A. point
B. line segment
C. plane
D. none of the above
Example 2b

23. Draw a surface to represent plane R and label it.
Guided Practice: Draw Geometric Figures
Draw a surface to represent plane R and label it.
Example 3

24. Draw a line anywhere on the plane.
Draw Geometric Figures
Draw a line anywhere on the plane.
Example 3

25. Draw dots on the line for point A and B. Label the points.
Draw Geometric Figures
Draw dots on the line for point A and B. Label the points.
Example 3

26. Draw Geometric Figures
Example 3

27. Draw dots on this line for point D and E. Label the points.
Draw Geometric Figures
Draw dots on this line for point D and E. Label the points.
Example 3

28. Label the intersection point of the two lines as P.
Draw Geometric Figures
Label the intersection point of the two lines as P.
Example 3

29. Draw Geometric Figures
Answer:
Example 3

30. Draw Geometric Figures
Answer:
Example 3

31. Draw Geometric Figures
Answer:
There are an infinite number of points that are collinear with Q and R. In the graph, one such point is T(1, 0).
Example 3

32. Draw Geometric Figures
Answer:
There are an infinite number of points that are collinear with Q and R. In the graph, one such point is T(1, 0).
Example 3

33. A. Choose the best diagram for the given relationship
A. Choose the best diagram for the given relationship. Plane D contains line a, line m, and line t, with all three lines intersecting at point Z. Also, point F is on plane D and is not collinear with any of the three given lines.
A. B C. D.
Example 3a

34. A. Choose the best diagram for the given relationship
A. Choose the best diagram for the given relationship. Plane D contains line a, line m, and line t, with all three lines intersecting at point Z. Also, point F is on plane D and is not collinear with any of the three given lines.
A. B C. D.
Example 3a

35. Paired Practice: Complete the following with your elbow partner
Paired Practice: Complete the following with your elbow partner. There are several methods to complete this.
Example 3b

36. A. B.
C. D.
Example 3b

37. A. B.
C. D.
Example 3b

38. A. How many planes appear in this figure?
Paired Practice: Interpret Drawings
A. How many planes appear in this figure?
Answer:
Example 4

39. A. How many planes appear in this figure?
Interpret Drawings
A. How many planes appear in this figure?
Answer: There are two planes: plane S and plane ABC.
Example 4

40. B. Name three points that are collinear.
Paired Practice: Interpret Drawings
B. Name three points that are collinear.
Answer:
Example 4

41. B. Name three points that are collinear.
Interpret Drawings
B. Name three points that are collinear.
Answer: Points A, B, and D are collinear.
Example 4

42. C. Are points A, B, C, and D coplanar? Explain.
Interpret Drawings
C. Are points A, B, C, and D coplanar? Explain.
Answer:
Example 4

43. C. Are points A, B, C, and D coplanar? Explain.
Interpret Drawings
C. Are points A, B, C, and D coplanar? Explain.
Answer: Points A, B, C, and D all lie in plane ABC, so they are coplanar.
Example 4

44. Paired Practice: Interpret Drawings
Answer:
Example 4

45. Answer: The two lines intersect at point A.
Interpret Drawings
Answer: The two lines intersect at point A.
Example 4

46. Please choose three of the five problems to complete.
Independent Work:
Please choose three of the five problems to complete.
You must show your work and/or justify all of your answers.
Complete the remaining two correctly and get a bonus CW grade.

47. Exit Ticket A. How many planes appear in this figure?
A. one
B. two
C. three
D. four
Example 4a

48. A. How many planes appear in this figure?
A. one
B. two
C. three
D. four
Example 4a

49. B. Name three points that are collinear.
A. B, O, and X
B. X, O, and N
C. R, O, and B
D. A, X, and Z
Example 4b

50. B. Name three points that are collinear.
A. B, O, and X
B. X, O, and N
C. R, O, and B
D. A, X, and Z
Example 4b

51. C. Are points X, O, and R coplanar?
A. yes
B. no
C. cannot be determined
Example 4c

52. C. Are points X, O, and R coplanar?
A. yes
B. no
C. cannot be determined
Example 4c

53. A. point X
B. point N
C. point R
D. point A
Example 4d

54. A. point X
B. point N
C. point R
D. point A
Example 4d