A proof and a construction from recent work. Wednesday 10/21/98 Topic: Pentagon and golden ratio Find the rhombi and isosceles triangles in the pentagon and its.Menelaus Theorem was proved (as done in Bix). Then this isĪpplied to the special case of a right triangle. Student explanation of the geometry inĪ midpoint segment in a triangle and on to the midpoint triangle. Monday, 10/19/98 Topic: Menelaus Theorem.Reading GTC (Geometry Through the Circle), Chapter 5, Section 5.3. Triangle and the excircles (and the understanding of the geometry of theįigure consisting of a triangle and its angle bisectors). The goal of the lab is the construction of the incircle of a Some tips on line reflection and rotation with Sketchpad will Reading GTC (Geometry Through the Circle),Chapter 5, Sections 5.1 and 5.2. Intersections points of two strips lie on angle bisectors. Some of this is based on the geometry of strips a strip of halfwidthĭ is the locus of points at distance d from a fixed center line. Line, tangent circles, and from that the locus of points equidistant to two The main goal is to see the connection between distance to a This lab will work through the first sections of Chapter 5 of GTC. Math 487 Lab #3 Wednesday 10/14/98 Topic: Distance to lines, strips and angle bisectors.What are the lines of symmetry of familiarįigures such as an equilateral triangle (3), a rhombus (2), a rectangle (2),Ī general paralellogram (0), a circle (infinitely many), a line segment (2),Ī line (infinitely many), and the X-figure made of two intersecting lines Some points include how to construct a perpendicularīisector with this mirror. Wednesday 10/14/98 Topic: Line Symmetry and Reflection with a Mirror Using the Reflectview Mirror to reflect objects and investigate symmetry.Parallel to the sides of ABC and distances are determined by finding Proof of concurrence of altitudes of triangle ABC the key is toĬonstruct a larger triangle A'B'C' so that ABC is the midpoint.Midpoint parallelogram of a quadrilateral.
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