Fundamental Principles
Angles
Angles
- Acute angle = less 90 deg
- Obtuse angle = more than 90 and less than 180 deg
- Straight angle =180 deg
- Vertex of the angle is point where two lines meet
- Supplementary angles have a sum of 180 deg
- Complementary angles have a sum of 90 deg
- The base angles of an isosceles (two equal sides) triangle = 60 deg
- Each angle of an isosceles right triangle = 45 deg
- Exterior angle of a triangle is the sum of the remote interior angle
- The sum of the angles of a polygon of n sides = (n-2)180 deg
- The sum of the exterior angles of any polygon = 360 deg
Congruence of triangle
In geometry,Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size
conditions: (s=side ; a=angle)
- s.a.s =s.a.s (Side-Angle-Side)
- a.s.a=a.s.a (Angle-Side-Angle)
- s.s.s=s.s.s (Side-Side-Side
- a.a.s=a.a.s (Angle-Angle-Side)
Two right triangles are congruent if hypotenuse and leg of one hypotenuse and corresponding leg of the other.
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