|
|
|
|
|
|
|
|
|
| |
|
Sets of
Points in a Plane
|
Line, a half-line and line segment
|
|
The line segment bisector
|
|
Angle, measurement of angles
|
|
Complementary, supplementary,
alternate and vertically opposite angles
|
|
Angle bisector
|
|
Construction of angles; 60°, 30°, 90°
and 45° (degrees)
|
| |
|
Points,
Lines and Planes in Three-Dimensional (3D) Space |
|
Position
of two lines in a three-dimensional space |
|
Coplanar lines and skew lines
|
|
Line and plane in a three-dimensional space
|
|
Two planes in a
three-dimensional space
|
|
The line of intersection of two planes
|
|
Orthogonality of line and plane
|
|
Orthogonality of two planes
|
|
Orthogonal projection of a point onto a plane
|
|
The distance from a point to a plane
|
|
Angle between a line
and a plane, and angle between two planes |
|
|
|
Plane
Geometry – Plane Figures |
|
| |
|
Triangles |
|
Types of triangles
|
|
Main
properties of triangles
|
|
Congruence of triangles
|
|
Theorems about congruence
|
|
Similarity
of triangles, division of a line segment in a given ratio |
|
Similarity criteria of triangles
|
|
Area of a triangle
|
|
|
Right-angled
Triangle
- The Pythagorean Theorem |
|
The
Pythagorean theorem |
|
Trigonometric functions of an acute angle defined in a right triangle
|
|
Solving the right triangle |
|
|
Equilateral
and Isosceles Triangle
|
|
Equilateral
triangle
|
|
Isosceles
triangle
|
|
|
Oblique
or Scalene Triangle |
|
Properties and rules of a triangle
|
|
Perpendicular bisectors,
triangles circumcenter
|
|
Angle bisectors, the center of the triangle’s incircle
|
|
The
median, the centroid of a triangle |
|
The altitude of a triangle, orthocenter
|
|
Triangle formulas |
|
Similarity and congruence of
triangles use
|
|
Congruence |
|
The
sine law (or the sine rule) and the cosine law |
|
The
sine law |
|
The
sine law examples |
|
The
cosine law |
|
The
cosine law examples |
|
Calculating angles
of an oblique triangle |
|
Solving
the oblique triangle - use of the sine law and the cosine law |
|
|
Triangle problems
and solutions |
|
Triangle solved problems, examples |
|
Triangle solved
problems - A |
|
Triangle solved
problems - B |
|
Triangle solved
problems - C |
|
Triangle solved
problems - D |
|
Triangle solved
problems - E |
|
Triangle solved
problems - F |
|
|
Quadrilaterals |
|
Square
|
|
Rhombus
|
|
Rectangle |
|
Parallelogram |
|
Kite
or deltoid
|
|
Trapezium
or trapezoid
|
|
Isosceles
trapezoid
|
|
Cyclic quadrilateral |
|
Tangential quadrilateral
|
| |
|
Polygons
|
|
Regular
polygons |
|
|
Circle
|
|
Central angle, inscribed angle
|
|
Construction of a tangent
from a point
|
|
Circumference, length of an arc
|
|
Circle and circular sector
|
|
Circular segment
|
|
Annulus and annulus segment |
|
|
Plane figures solved problems,
examples |
|
Plane figures solved problems,
examples |
|
Plane figures solved problems,
examples - A |
|
Plane figures solved problems,
examples - B |
|
Plane figures solved problems,
examples - C |
|
Plane figures solved problems,
examples - D |
| |
|
| |
|
|
|
| |
| |
|
|
| |
| |
| |
 |
| |
| |
| Copyright
© 2004 - 2020, Nabla Ltd. All rights reserved. |
