Geometry Books about 2D and 3D figures with explanations and problems?

[songoku]

I am looking for books that contain explanations (or to be able to answer) about something like this:

1) Exterior Angle Bisector Theorem
The external angle bisector of a triangle divides the opposite side externally in the ratio of the sides containing the angle. This condition occurs usually in non-equilateral triangles.

2) Given cube ABCDEFGH with side 2 units and line DF passes through plane ABGH at point T. Find distance ET

3) Given regular tetrahedron TABC with side 3 cm. M is mid point of AT and N is mid point of BC. Find length of MNAny books are ok but preferably high school level.

Thank you

 

[Muu9]

Is a proof-heavy text okay?

 

[songoku]

Is a proof-heavy text okay?

no problem

 

[Muu9]

Try the two geometry books by Kiselev, or the Art of Problem Solving Introduction to Geometry or Euclidean Geometry in Mathematical Olympiads by Evan Chen

 

[songoku]

Thank you very much Muu9