POINTS LINES PLANES AND ANGLES

Classify each statement as true or false.

Problem 1 :

BC is in plane M.

Solution :

B and C are the points which lies on the plane. So, it is true.

Problem 2 :

Plane M contains AB.

Solution :

A is the point which is away from the plane and B is the point which is inside the plane. So, it is false.

Problem 3 :

Line l intersects AB at point B.

Solution :

From the picture, it is clear line l is intersecting line AB at A. So, it is false.

Problem 4 :

AB and DA intersect at A.

Solution :

Lines AB and DA are intersecting each other at A. So, it true.

Problem 5 :

AD is in plane M.

Solution :

A and D are the points which is away from the plane. So, it is false.

Problem 6 :

Plane M intersects AE at point B.

Solution :

By observing the above diagram :

True

Problem 7 :

AE intersects plane M at point B.

Solution :

By observing the above diagram :

True

Problem 8 :

A, B, and E are collinear.

Solution :

Collinear :

Collinear points are the points which lie on the same line.

By observing the above diagram :

So, the points A, B, and E are collinear.

Therefore, it is true

Problem 9 :

B, F, and D are collinear.

Solution :

Collinear :

Collinear points are the points which lie on the same line.

By observing the above diagram :

So, the points B, F and D are not collinear.

Therefore, it is false.

Problem 10 :

A, B, and C are coplanar.

Solution :

Coplanar :

Coplanar points are the points which lie on the same plane.

By observing the above diagram. 

So, the points  A, B and C are coplanar.

So, it is true

Problem 11 :

B, C, F, and G are coplanar.

Solution :

Coplanar :

Coplanar points are the points which lie on the same plane.

By observing the above diagram :

So, the points  B, C, F and G are coplanar.

So, it is true

Problem 12 :

A, B, C, and G are coplanar.

Solution :

By observing the above diagram :

True

Problem 13 :

A, B, C, and F are coplanar.

Solution :

By observing the above diagram :

False

The plane that contains the shaded region can be called plane ABCD.

Problem 1 :

Name three lines that intersects at point G.

Solution :

Intersects the three line is HG, FG and CG.

Problem 2 :

Name two planes whose intersection is FB.

Solution :

Intersection of two plane is EFAB and FGCB.

Problem 3 :

Name the intersection of plane EHGF and plane EFBA.

Solution :

By observing the above diagram. 

Intersection of plane is EF.

Problem 4 :

Name two planes that do not intersect.

By observing the above diagram. 

ABCD and EFGH is do not intersect of the two planes.

Problem 5 :

Are points D, H, G, and C coplanar ?

Solution :

Coplanar points are the points which lie on the same plane.

By observing the above diagram. 

So, the points  D, H, G, and C are coplanar.

Problem 6 :

Are points D, H, G, and F coplanar ?

Solution :

By observing the above diagram. 

The points D, H, G, and F are not coplanar.

Because, the points which does not lie on the same plane.

Problem 7 :

Are points A, B, G, and H coplanar ?

Solution :

Coplanar points are the points which lie on the same plane.

By observing the above diagram. 

So, the points  A, B, G, and H are coplanar.