Point, Lines, Planes, Angles Millau Bridge Sir Norman Foster Millenium Park Frank Lloyd Wright Fallingwaters Frank Lloyd Wright Point, Lines, Planes, Angles 1.2 WE Points, Lines and Planes

1.2 WE Points, Lines and Planes True or False Yes, the planes extend to include the whole line. Yes, the planes extend to include the whole line. Yes. Yes. Yes.

Yes. They are all in plane S. True or False No. It only passes thru plane R. Yes. No. it is only in Plane S. Yes. They are all in plane S. No. No straight line will contain all 3 pts.

11. Make a sketch showing 4 coplanar points such that 3, but not 4 are collinear. 12. Make a sketch showing 4 points that are not coplanar.

RW, RS, RV 13. Name 5 planes that contain sides of the pyramid shown. VRS, VST, VWT, VWR, RSTW Bottom Sides 14. Of the 5 planes, are there any that do not intersect? No. 4 intersect at point V and the bottom intersects all the sides. 15. Name 3 lines that intersect with R. RW, RS, RV

STV, STWV STV, SRV, STWR And many or Others. 16. Name 2 planes that intersect in . STV, STWV Note all planes contain S and T. 17. Name 3 planes that intersect at point S. STV, SRV, STWR 18. Name a line and a plane that intersect in a point. And many Others. or

19 Follow the steps shown to draw the figure named. Rectangular solid or box.

Follow the steps shown to draw the figure named. 20 A barn.

No. Yes. The floor. 21. Name 2 planes that intersect in FGSR and FGCB the roof and right side. 22. Name 3 lines that intersect at pt. E. 23. Name 3 plane that intersect at pt. B. Front, Right Side, Floor ABCE, ABFRE, BCGF 24a. Are points A, D, and C collinear? No. 24b. Are points A, D, and C coplanar? Yes. The floor.

No – C is not on the yellow plane. 25a. Are points R, S, G, and F coplanar? Yes – the yellow plane. 25b. Are points R, S, G, and C coplanar? No – C is not on the yellow plane. 26a. Name 2 planes that do not intersect. ABFRE and DCGSE The front and back 26a. Name 2 other planes that do not intersect. BCGF and ADHE The right and left sides.

No. Two floors of a building do not intersect. 27. Can 2 horizontal planes intersect? No. Two floors of a building do not intersect. 28a. Can 2 vertical planes intersect? Yes. Look at the two walls in the corner of the room. 28b. Suppose a line is known to be in a vertical plane. Does the line have to be a vertical line? NO. Look at cinderblock wall or a brick wall. They are vertical but they contain horizontal joint lines.

Sketch and label the figures described. Use dashes for hidden lines. 29. Vertical line l intersects a horizontal plane M at point A.

Sketch and label the figures described. Use dashes for hidden lines. 29. Vertical line l intersects a horizontal plane M at point A.

P Sketch and label the figures described. Use dashes for hidden lines. 30. Horizontal plane P contains two lines k and n that intersect at point A. P

P A Sketch and label the figures described. Use dashes for hidden lines. 30. Horizontal plane P contains two lines k and n that intersect at point A. P A N K

Sketch and label the figures described. Use dashes for hidden lines. 31. Horizontal plane Q and vertical plane N intersect.

Sketch and label the figures described. Use dashes for hidden lines. 31. Horizontal plane Q and vertical plane N intersect.

Sketch and label the figures described. Use dashes for hidden lines. 32. Vertical planes X and Y intersect an .

A B Sketch and label the figures described. Use dashes for hidden lines. 32. Vertical planes X and Y intersect an . A B

Sketch and label the figures described. Use dashes for hidden lines. 33. Point P is not in plane N. Three lines through point P intersect N in points A, B, and C.

P A B C Sketch and label the figures described. Use dashes for hidden lines. 33. Point P is not in plane N. Three lines through point P intersect N in points A, B, and C. P A B C

C’est fini. Good day and good luck.