Objective: Determine the effect on the area of a triangle when the scale factor is changed. [br][br] Procedure: [br] 1.) Drag the vertices of the triangle ABC to change the shape of the triangle. Use the slider to change the scale factor. Make a table of values showing the scale factor and the corresponding areas of Triangle ABC and Triangle A'B'C'. [br] 2.) Use the results to answer the questions listed below.

Questions:[br] 1.) If the scale factor is 2, what is the effect on the area of the resulting triangle? [br] 2.) If the scale factor is 3, what is the effect on the area of the resulting triangle [br] 4.) If the scale factor is 1/2, what is the effect on the area of the resulting triangle? [br] 5.) If the scale factor is n, then the area of the resulting triangle will be equal to the area of the original triangle times _________.[br] 6.) How are both the base and height of the triangle affected by a change in the scale factor? [br] 7.) Write a conjecture explaining how the area of a triangle is affected by a change in the scale factor. [br] 8.) Can you show algebraically that your conjecture is true? (Area of a triangle = 0.5BH)