







Forming a triangle from 3 line segments 
20120315 

rustom pose la question : A point X is selected at random from a line segment AB with midpoint 0. Find the probability that the line segments AX, XB, and A0 can form a triangle. Penny Nom lui répond. 





Two line segments in the plane 
20110815 

Tim pose la question : For this problem I actually have tried to visualise the image in my head many times. This question makes my head spin.
Four points lie in a plane. They are partitioned into two pairs so that the sum of the lengths of the segments joining the points of each pair has the minimal possible value.
Prove that these segments have no common points. Chris Fisher lui répond. 





Line segments 
20110104 

Izsak pose la question : What is the formula to find the number of segments that can be named by a given number of points on a line? Penny Nom lui répond. 





Can a line segment curve over two planes? 
20100214 

Graham pose la question : I am working on a math fair project.
Can a line segment curve over two planes?
Such as, if I had a three dimensional L bracket and I drew a line segment
on it with a marker starting on the bottom of the L and had it curve
around the corner and up the top, would it still be considered one line
segment? Or is that two line segments?
Is there a rule that a line segment can only occupy one plane?
Thank you.
Graham Chris Fisher lui répond. 





Congruent line segments 
20090205 

casie pose la question : marica drew oneline segment on a graph with endpoint of (0,9) and (0,4). she drew another line segment with endpoints (1,1) and (6,1). are the line segment congruent?explain Penny Nom lui répond. 





The midpoint o a line segment 
20081115 

Jane pose la question : The vertices of a triangle are at (1,7), (6,1) and (0,3). Find the coordinates of the midpoints of the sides. Penny Nom lui répond. 





The midpoints of the sides of a quadrilateral 
20080722 

JOEL pose la question : A QUADRILATERAL A,B,C,D HAS THE CO ORDINATE [2,5],[8,7],[10,3]&[0,1] RESPECTIVLY [B,E,G,H] ARE THE MID POINTS OF THE SIDES AB,BC,CD&DA RESPECTIVLY FIND THE MID POINTS OF [FG]&[FH] Penny Nom lui répond. 





Segments on a line 
20070910 

Cathy pose la question : This question was on my daughter's geometry assignment. Write a general rule of formula for finding the number of segments that can be named by a given number of points on a line. For example, 2 points on a line = 1 line segment; 3 points on a line = 3 segments; 5 points on a line = 10 segments. Penny Nom lui répond. 





Line segments on dot paper 
20070121 

Khaori pose la question : The three line segments below are drawn on centimeter dot paper.
a. Find the length of each segment to the nearest tenthousandth of a centimeter. b. Could these line segments be arranged to form a triangle? If no, explain why or why not. If yes, answer this question: could they form a right triangle? Explain why or why not. Penny Nom lui répond. 





How many line segments are necessary? 
20061004 

Varun pose la question : If you place 35 points on a piece of paper so that no three are collinear, how many line segments are necessary to connect each point to all the others? Stephen La Rocque lui répond. 

