math

• Undefined terms: are one part of the mathematical system
• Point: Has no size and no Dimension.

  
• Line: Has length but has no width and thickness

  
  

  This line is read "line CR" and in symbol it is written as ↔CR. this is also read as "line m"

  
• Plane: Is a flat surface with length and width, but there is no thickness.

  A plane is named using at least any three points. So this plane is plane CAR or plane CARE. This is also named as plane m.

  
• Space: A set of all points
• Postulates: Are the statements that are accepted as true without any proof.
• Theorems: Are statements that must be proven true using undefined terms, definitions, postulates, and previously proven theorems.
• Segment: It is the distance between two endpoints. It also refers to the part of a line with two endpoints
• Midpoint: It divides a segment into two congruent parts

  
• Ray: It is a part of a line with one endpoint

  
• Angle: It is the union of two rays with common endpoint

  
• Vertical angles: These are two non-adjacent angles formed by two intersecting lines

  
• Complementary Angles: These are two angles whose measures sum up to 90°

  
• Supplementary Angles: These are two angles whose measures sum up to 180°

  
• Adjacent Angles: These are two angles with common vertex and common side

  
• Linear pair: These are two angles that are both adjacent and supplementary.

  
• Line Postulate - Two points determine exactly one line

  
• • Number of points in a line postulate - A line contains at least two points
• Plane Postulate - Three non-collinear points determine one plane

  
• • Number of points in a plane postulate - A plane contains at least three points

  
• • Parallel Lines Postulate - Through a point not in a given line, there is one and only one line parallel to the given line

  
• • Flat Plane Postulates - If two points lie in a plane, then the line containing these two points lies in the plane

  
• Plane Intersection Postulate - If two distinct planes intersect, then their intersection is a line

  
• Angle Measure Postulate - For every angle, there is a unique positive number between 0° and 180° called degree measure of an angle. A protractor is an instrument used for measuring angles. The unit of measure for angles is degree (°)
• • Angle Addition Postulate - If one side is the interior of two angles, then the sum of the two angles is equal to the biggest angle

  
• • Supplement Postulate - If two angles form a linear, then they are supplementary

  
• • Line Intersection Theorem - Two distinct lines intersect at only one point

  
• • Line-Plane Intersection Theorem - If a line not on a plane intersects the plane, then the intersection contains only one point

  
• Line-Point Intersection Theorem - Exactly one plane contains a given line and a point not in the line

  
• • Vertical Angle Theorem - If two angles are vertical, then they are congruent

  
• • Congruent Supplements Theorem - If two angles have the same supplement, then they the two angles are congruent

  
• • Congruent Complements Theorem - If two angles have the same complement, then they the two angles are congruent