Lab 4 Report (due Friday, 10/25)

Answer questions from Lab here.

1. Exp 4.1, Investigation 1, Carpenter with Pencil and Paper

For the points A and B below, carry out the Construction.

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2. Exp 4.1, Investigation 2, Simulation of Carpenter with GSP

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3. Exp 4.2, Investigation 1, Folding Right Triangles

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4. Folding Right Triangles with GSP

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5. Exp 4.4, Investigation - Adding a Circle to Carpenter

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6. Construct the tangent lines to the circle through P with straightedge and compass (no sliding the straightedge!).

7. Construct a right triangle ABC with ABC with right angle at C, AB = c and BC = a.

8. Conclusions about right triangles – Prove the items below:

Sketch the triangle ABC with right angle C and D, E, F the midpoints of sides BC, CA, AB.

· Triangle AFE is similar to ABC.

· Line FE is perpendicular to AC.

· FE is the perpendicular bisector of AC.

· FD is the perpendicular bisector of BC.

· F is the circumcenter of ABC.

· Triangles AFE, CFE, FBD, FCD are all congruent.