GEOMETRY SYLLABUS

Geometry and mathematical models

Inductive reasoning

Deductive reasoning

Measurement - angles - segments

Congruence                   

 3-D drawings in 2-space

Geometry as a logical system

Conditional statements

Rules of logic

     Undefined and defined terms

Postulates

A deductive system

Angles and parallel lines

Angles and navigation

Rotations             

Angle pairs- complementary - supplementary - vertical

Parallel lines and congruence of angles

Triangles

Congruence of triangles

Isosceles triangles       

Right triangles

Triangle sum equals 1BO                         

 Exterior angles

Area

Area and perimeter

Area formulas

Area under a curve

Area and the Pythagorean theorem

Polygons and polyhedrons

Quadrilaterals - properties

Special quadrilaterals- trapezoids - rectangles - squares

Regular polygons

Similarity

Areas and perimeters of similar figures

The golden rectangle

Dilations

Trigonometry

Circles and spheres

Inscribed and circumscribed

Tangents to circles

Circumference and areas

Arcs and central angles

Chords

Inscribed angles

Surface areas and volumes of solids

Prisms

Pyramids

Cylinders and cones

Similar solids

Noneuclidean geometries