kvmgrade.blogg.se - Proof theorems geometry

Theorem 1: If two lines intersect, then they intersect in exactly one point.

Postulate 6: If two planes intersect, then their intersection is a line.

Postulate 5: If two points lie in a plane, then the line joining them lies in that plane.

Postulate 4: Through any three noncollinear points, there is exactly one plane.

Postulate 3: Through any two points, there is exactly one line.

Postulate 2: A plane contains at least three noncollinear points.

Postulate 1: A line contains at least two points.

Listed below are six postulates and the theorems that can be proven from these postulates. A theorem is a true statement that can be proven.

Summary of Coordinate Geometry FormulasĪ postulate is a statement that is assumed true without proof.

Slopes: Parallel and Perpendicular Lines.

Similar Triangles: Perimeters and Areas.

Proportional Parts of Similar Triangles.

Formulas: Perimeter, Circumference, Area.

Proving that Figures Are Parallelograms.

Triangle Inequalities: Sides and Angles.

Special Features of Isosceles Triangles.

Classifying Triangles by Sides or Angles.

Lines: Intersecting, Perpendicular, Parallel.