Bring GTC Chapter 4
After completing each step of the lab, on a separate piece paper with your name on it, write answers to the question (or questions) that follows.
GTC Exp 4.1, pp. 43-44. Save the sketch for later in the lab.
Q1. Based on your experience with the two Investigations, write a conjecture in the form of a theorem that appears to be true, based on the experiment. Make the statement as strong as you can.
GTC Exp 4.2, pp. 45-47
Q2. Sketch a right triangle and draw 3 segments that are supposed to be equal, based on the Investigations in this section. Conjecture the location of the circumcenter and sketch the circumcircle for thie right triangle.
Q3. Show a division of the triangle into subtriangles and state a theorem about congruence of the subtriangles that (if proved) will show the 3 segments above are equal and prove your conjecture.
GTC Exp 4.3, pp. 48-49
Q4. In the figure on page 48, state a relationship between angle CDE and CAE and explain why it is true.
GTC Exp 4.4, p. 50* (see note below on Version 4 change in instructions)
Q5. When D is one of the two points where the trace meets the circle, how is line BD related to the circle? Explain why.
GTC Exp 4.4, Const Probs 1&2, p. 52. These are important constructions.
Q6. Make the two constructions with Sketchpad and show an instructor that they pass the Drag Test. Also, make a Tool of the tangent construction that takes as givens A, B, C and no other points.