A Good Geometry Course Should Cover These Key Topics:

You should also learn why this is such an important course, what to do when a student needs Geometry help, and peruse our helpful resources.

Key Course Topics Should Include:

1. Reasoning skills: deduction, induction, indirect proof, the axiomatic method and formal systems. The terms conditional statement, converse, contrapositive and inverse; Venn diagrams. The students will learn the proofs of the theorems and also write their own proofs.
2. Points, lines, planes and angles: definitions and properties of these basic geometric figures; also segments, rays, distance, algebraic properties, special pairs of angles and theorems about perpendicular lines.
3. Parallel lines: properties of parallel lines; proving lines parallel; angles of a triangle; angles of a polygon.
4. Congruent triangles: SSS, SAS, ASA, AAS, and HL congruence schemes; using congruent triangles in proofs; theorems about isosceles triangles; proofs with more than one pair of congruent triangles; medians, altitudes and perpendicular bisectors.
5. Quadrilaterals: properties of parallelograms; proving a quadrilateral is a parallelogram; theorems involving parallel lines; special parallelograms and trapezoids.
6. Inequalities in triangles: properties of inequalities; theorems about inequalities in one and two triangles.
7. Similar polygons: ratio and proportion; properties of proportions; similar polygons and theorems about similar triangles; proportional lengths.
8. Right triangles: similarity in right triangles; the Pythagorean Theorem and its converse; special right triangles; right triangle trigonometry and its applications.
9. Circles: properties of tangents, arcs, central angles, chords, inscribed angles and other angles; circles and segment lengths.
10. Constructions: constructions involving perpendicular and parallel lines, concurrent lines, circles, and special segments; locus problems.
11. Area of plane figures: squares; rectangles; parallelograms; triangles; rhombuses; trape-zoids; regular polygons; circles; sectors; circumference of circles and arc length; ratio of areas and geometric probability.
12. Volume and surface of solids: prisms; pyramids; cylinders; cones; spheres; ratio of areas and volumes of similar solids.
13. Coordinate Geometry: distance, slope, midpoint, linear equations.

Here is a helpful web site that will help you recall properties, theorems and formulas related to the geometric solids.

Learn how expertise in calculating percentages helps your child earn top scores in math and science classes and on the ACT and SAT tests. Discover how to help your child become a Percents Expert.

Learn more about the Pythagorean Theorem .

Read some fun Geometry Jokes

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