1. Create the midpoint of each side of the triangle. (Use the Midpoint tool- 2nd menu from left)[br] * First click "midpoint or center" tool, then click point "A" and point "C". [br] Next Point "C" and point "B", [br] Then point "B" and point "A". This should create all the midpoints on the lines.[br][br]2. Create a perpendicular line through each midpoint. (Use Perpendicular Bisector tool- 4th menu from left) [br] * First click the "perpendicular bisector" tool[br] *Then click 2 vertex points on the triangle. This will create the perpendicular bisector.[br] * Do this on each line.[br][br]3. You should note that all of the perpendicular bisectors intersect at a single point. Label this point G.[br] Point G is the circumcenter of the triangle. ( Use the "point" tool- 2nd menu from left)[br][br]4 . Use the circle tool and with G as the center, create a circle. (Use "Circle with center through point" tool-[br] 6th menu from left)[br] * Click the center, point G, and pull the circle out to one of the vertices of the triangle.[br][br][br][br]
What kinds of lines create the circumcenter of a triangle?
If you were to draw segments AG, BG and CG, what do you notice about these segments? [br]1.) Go back up to the picture and draw these segments by using the segment tool- 3rd menu from left. [br]2.) Then use the distance tool to find the length of each.- 8th menu from the left
Find the lengths of AG, BG and CG. Are they congruent or not congruent?
What are these lines called ( AG, BG and CG) in a circle?
Enter the coordinates of the circumcenter for the triangle.
Click on point L and change the dimensions of the triangle. Answer the questions below:
Make the triangle an acute triangle (All angles are less than 90 degrees).[br]The circumcenter is:
Drag point L to make the image an obtuse triangle (one angle greater than 90 degrees).[br]The circumcenter is:
Drag point L to make the image a right triangle (One angle 90 degrees).[br]The circumcenter is: