1. What is the value of x2 + 3yz if x = 3, y = 6, and z = 4?
B. 33
C. 72
D. 81
5-Minute Check 1

2. Solve 2(x – 7) = 5x + 4.
A. –6 B.
C. 2
D. 6
5-Minute Check 2

3. Students will be able to identify and model points, lines, and planes.
Students will be able to identify intersecting lines and planes.
Splash Screen

4. 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

5. undefined term definition defined term space point line plane
collinear
coplanar
intersection
Vocabulary

6. Concept

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.
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

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

10. 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

11. 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

12. Draw a surface to represent plane R and label it.
Draw Geometric Figures
Draw a surface to represent plane R and label it.
Example 3

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

14. 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

15. Draw Geometric Figures
Example 3

16. 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

17. 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

18. Draw Geometric Figures
Answer:
Example 3

19. 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

20. 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

21. 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

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

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

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

25. Homework : Pg 8 #’s 13-35