







Bisecting rays 
20090909 

frank pose la question : Ray OC bisects angle AOB, ray OD bisects angle AOC, ray OE bisects angle AOD, ray OF bisects angel AOE, and ray OG bisects angle FOC: if angle BOF=120 degrees, then find angle DOE? Confused! Penny Nom lui répond. 





Estimate the cube root of 270 
20080311 

Tom pose la question : (a) By plotting suitable graphs, estimate to one decimal place the cube root of 270.
(b) With reference to your answer to part (a), use 8 iterations of a Bisection Search to refine your estimate. Use the nearest whole numbers either side of your estimate from part (a) as starting values.
(c) Using either of your starting values from part (b) as first guess, use the NewtonRaphson method to find the true value of the root (to 6 decimal places). Repeat using the other starting value from part (b) and compare the two results. Harley Weston lui répond. 





Proving a quadrilateral is a rhombus 
20071203 

Jeanie pose la question : How do you prove that a quadrilateral is a rhombus because the diagonals
of the quadrilateral are perpendicular and bisect each other using the 2column
proof method? Stephen La Rocque lui répond. 





Equation of a circle circumscribing a triangle with given vertices 
20071001 

Randy pose la question : How do I determine the equation of a circle when it is circumscribed by a
triangle whose vertices are (1, 6), (3, 2), and (2, 5)? Stephen La Rocque lui répond. 





A triangle problem 
20070423 

Dimitri pose la question : In the triangle ABC, M is the midpoint of AB and N is the midpoint of AC. Prove that CM and BN cannot bisect.
(I can prove it by contradiction if it is a scalene triangle, but i cant seem to prove it for isosceles) Chris Fisher lui répond. 





Collinear Points 
20030113 

Gary pose la question :
Which of the 4 points are collinear when you construct the following concurrent lines or rays of a triangle?  P(1), the point where the angle bisectors intersect.
 P(2), the point where the altitudes (or extensions) intersect (inside or outside of the triangle).
 P(3), the point where the medians intersect.
 P(4), the point where the perpendicular bisectors (or extensions) of the three sides of a triangle intersect.
This is for my 912 high school class in geometry. My name is Gary Thanks for your help. Gary
Harley Weston and Chris Fisher lui répond. 





Applied geometry 
20011102 

Jenny pose la question : Where can I find some handson activities for my Applied Geometry classes? I want to do more activities with them that allow us to get out of the classroom. However, I want to use activities that use only inexpensive equipment because I usually buy the equipment myself. Walter Whiteley lui répond. 





Bisecting angles 
20010827 

Monica pose la question : Ray QS is the bisector for angle PQR. Find the measure of angle PQS and PQR if the measure of angle SQR is 52 degrees. Penny Nom lui répond. 





Two sides and a bisectrix. 
19981111 

Victor Grinshtein pose la question : I am looking for someone who can tell me how to construct a triangle by 2 sides and a bisectrix using a compass and a ruler. Chris Fisher lui répond. 





Concurrent Lines in a Triangle 
19980810 

Chris Woolf pose la question : The question is Name four types of concurrent lines, rays, or segments that are associated with triangles. Chris Fisher lui répond. 

