Proportionality Theorems (similarity)
Task 1:
Move point E such that divdes and proportionally.
Question on Task 1:
Upon completing the task 1, make a conjecture about how relates to the other sides in the triangle. Confirm your conjecture using the meausurement tools in the sketch window, and explain your conjectrue below.
Task 2;
In the sketch below, move point D such that bisects C.
Question on Task 2:
Upon completing task two, make a conjecture about the lengths of the segments formed when an angle bisector intersects the opposite side of a triangle.
Task 3:
Create lines and such that (let contain points H and J)
Question on Task 3:
Using the measurement tools, identify a proportion. Write a theorem which describes what happens when three parallel lines intersect two transversals.