MATH Q3

• Terms which cannot be precisely defined are referred to as undefined terms in the mathematical system
• A real-life representation of a plane can be a notebook
• Points that do not lie on the same line are called noncollinear points
• A subset of a line that has an endpoint and extends in one direction is called a ray
• SAS (Side-Angle-Side):

  • Two sides and the angle included between them are congruent
• ASA (Angle-Side-Angle):

  • Two angles and the side included between them are congruent
• SSS (Side-Side-Side):

  • All three sides in one triangle are congruent to all three sides in the other triangle
• if two lines intersect, then they intersect in exactly one point. 


  theorem 1
• if a point lies outside a line, then exactly one plane contains both the line and the point. 


  theorem 2
• if two line intersect, then exactly have one plane that contains both lines. 


  theorem 3
• a line consists of two points


  postulate 1
• a plane consists at least three non-collinear points


   postulate 2
• through any two points, there is exactly one line


  postulate 3
• through three non-collinear points, there is exactly one plane


  postulate 4
• if two points lie in the plane, the line joining them lies in that plane


  postulate 5
• if two planes intersect (meet) their intersections a line


  postulate 6