Question 478005: 3) show that if A-B-C and B-C-D,then A-B-D and A-C-D
4)Given aline m with coordinate system f ,and three points A,B and C with coordinates X,Y and Z respectively.A-B-C iff X-Y-Z (prove)
5)Show that A is not between any two points of triangle ABC
6)Every segment has exactly one mid point.(prove)
7) A triangle is dissected by its medians into six smaller triangles of the same area.(prove)
8)Let P be apoint on aline m if X>0, there are exactly two points Q and R on m such that PQ=PR=X.
9)If P,Q and R are points on a line L and a,b elements of real numbers ,then there is a coordinate system f for such that f(P)=a and f(Q)=b .In particular for any two points P,Q on L there is a coordinate system f with f(P)=0 and f(Q)=1
10)For every line in a plane if A and B are points in one side of L,then either line AB or line BA lie in the same side of L
11)If A,B,C are non collinear ,then the exterior of angle ABC is not convex.
12)If the diagonal of quadrilateral intersect,then the quadrilateral is convex.(prove)
13)Given triangle ABC,1) If B-C-P and A-Q-C,then line PQ intersects Line AB
2) if B-C-P and A-Q-C,then line PQ intersects line AC
Answer by 90089(1)   (Show Source):
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