How many point appears in the figure?
how many lines appears in the figure?
how many planes appears in the figure?
name three collinear points?
name four coplanar points?
name the intersection of planes abc and abe?
name the intersection of planes bch and def?
name the intersection of ad and df?

8 points

9 lines

5 planes

C, H, F

E, B, C

AB

{ } or ∅

D

Step-by-step explanation:

* Lets explain how to solve the problem

- The figure is 3-D

∵ The vertices are A, B, C, D, E, F, and G , H lie on two sides of it

∴ It has 8 points

∵ The lines are AB, BC, AC, AD, CF, DF, DE, BE, EF

∴ It has 9 lines

∵ The planes are the faces of it

∵ It has 5 faces

∴ It has 5 planes

∵ H lies on the side CF

∴ C, H, F are col-linear points

∵ Point E joining the sides ED, EF, EB

∴ E is co-planar point

∵ Point B joining the sides BA, BC, BE

∴ B is co-planar point

∵ Point C joining the sides CB, CH, CF

∴ C is co-planar point

∴ The co-planar points are E, B, C

∵ The planes ABC and ABE have AB as a common side

∴ The intersection of them is AB

∵ The planes BCH and DEF have no common between them

∴ There is intersection between them

∴ The intersection is { } or ∅

∵ The segments AD and DF have D as a common point

∴ The intersection of them is point D

The other person that has commented on this made the explanation seem difficult but they were correct. I just had the same question and the answer is x=5

Step-by-step explanation: