Major Objectives of Chapter 10: Introducing Geometry

o illustrate, name, and describe various geometric concepts such as circle, line, curve, ray, angle, chord, radius, diameter, intersection, polygon, etc;

o classify and give characteristics of different types of triangles and quadrilaterals;

o find the length measure, area measure, and degree measure of segments, polygons, and angles;

o use inductive reasoning to discover geometric relationships;

o describe the different pairs of congruent and supplementary angles formed when two parallel lines that are cut by a transversal;

o find the sum of the interior angles of a polygon;

o use geometric properties and relationships to solve problems;

o draw specified two-dimensional geometric shapes;

o make conjectures concerning geometric concepts;

o give a physical model for geometric concepts;

o illustrate and describe relationships between points, lines, and planes (collinear, noncollinear, intersections, parallel, perpendicular);

o measure an angle;

o classify angles (acute, obtuse, complementary, supplementary, interior, exterior, right, straight, adjacent, vertical, alternate interior, alternate exterior, corresponding, etc.);

o classify convex and non-convex regions;

o determine if a polygon is regular; and

o use the Pythagorean theorem to find the length of a side of a right triangle.