Area Project
C. Sormani, MTTI, Lehman College, CUNY
MAT631, Fall 2009, Project X
BACKGROUND: Congruent and Similar triangles, Squares and Parallelograms, Coordinate Transformations and Images.
In this project we introduce the notion of area with four new
Circles Project
C. Sormani, MTTI, Lehman College, CUNY
MAT631, Fall 2009, Project X
BACKGROUND: General Axioms, Half planes, Isosceles Triangles, Perpendicular Lines, Congruent Triangles, Parallel Postulate and Similar Triangles.
DEFN: A circle of radius
GEOMETRY
The University of the State of New York
REGENTS HIGH SCHOOL EXAMINATION
GEOMETRY
Thursday, January 28, 20109:15 a.m. to 12:15 p.m., only
Student Name: _
School Name: _
Print your name and the name of your school on the lines above. Then turn to
t
Coordinate Plane Project
C. Sormani, MTTI, Lehman College, CUNY
MAT631, Fall 2009, Project XI
BACKGROUND: Euclidean Axioms, Half Planes, Unique Perpendicular Lines, Congruent
and Similar Triangle Theorems, Parallelograms.
PERPENDICULAR PERPENDICULAR TO PA
Coordinate Transformations Project
C. Sormani, MTTI, Lehman College, CUNY
MAT631, Fall 2009, Project X
BACKGROUND: General Axioms, Congruent and Similar Triangles, Coordinate Plane,
Distances Between Points in the Plane, Lines Through the Origin.
DEFINITI
Isometry Project
C. Sormani, MTTI, Lehman College, CUNY
MAT631, Fall 2009, Project IX, Part II
BACKGROUND: Euclidean Axioms, Midpoints, Perpendicular Bisectors, Congruent Triangles,
Symmetry, Maps, Bijections.
DEFN: A Euclidean isometry is a map, F : E 2
Symmetry Project
C. Sormani, MTTI, Lehman College, CUNY
MAT631, Fall 2009, Project IX, Part I
BACKGROUND: Euclidean Axioms, Midpoints, Perpendicular Bisectors, Congruent Triangles.
LINE SYMMETRY: Plot points A = (2, 3) A = (2, 3) B = (5, 0), B = (5, 0) ,
Parallel Postulate Project
C. Sormani, MTTI, Lehman College, CUNY
MAT631, Fall 2009
BACKGROUND: All axioms of Absolute Geometry and the Theorems of Congruent
Triangles. In this lesson, all points and lines will lie in a common plane.
DEFINITION:Two lines
Similar Triangles Lesson and Project
C. Sormani, MTTI, Lehman College, CUNY
MAT631, Fall 2009, Project VII
BACKGROUND: Euclidean geometry axioms including the parallel postulate and the
SSS, SAS, ASA, Vertical Angle, Alternate Interior Angles and Parallel
Working With Triangles Project
C. Sormani, MTTI, Lehman College, CUNY
MAT631, Fall 2009, Project VIII
BACKGROUND: Euclidean Axioms, Congruent Triangles and Similar Triangles.
DEFN: An altitude of a triangle ABC dropped from C is the unique line perpendicu