234k views
3 votes
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?​

How many point appears in the figure? how many lines appears in the figure? how many-example-1
User Sampath  G
by
6.0k points

1 Answer

6 votes

Answer:

8 points

9 lines

5 planes

C, H, F

E, B, C

AB

{ } or ∅

D

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

User Jeff Musk
by
5.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.