Math

• Inverse


  The statement formed by negating the hypothesis and the conclusion (if not p, then not a)
• Contrapositive


  The statement formed by exchanging and negating the hypothesis and the conclusion
• Biconditional


  The statement formed when the conditional and converse statements are both true (if and only if)
• Truth value


  Whether the conditional is true or false (if it's false, you can find a counterexample)
• Conditional


  • If a figure is a square, then it has four sides
• Inverse


  • If the figure is not a square, then it does not have four sides
• Contrapositive


  • If it does not have four sides, then it's not a square
• Biconditional


  • You are bald if and only if you have no hair
• The biconditional is true if the whole statement is still true when the two statements are switched</b>
• The conditional "If a figure is a square, then it has four sides" is true
• The converse "If a figure has four sides, then it is a square" may not be true (need to check for counterexamples like a rectangle)
• Shapes


  • Square
  • Triangle
  • Circle
  • Rectangle
  • Eclipse
  • Trapezoid
• Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures
• Geometry is, along with arithmetic, one of the oldest branches of mathematics
• Geometer


  A mathematician who works in the field of geometry
• Parallel lines


  Lines that point in exactly the same direction and will never cross
• Intersection


  The point where lines cross
• Angle


  The space between intersecting lines
• Arc


  Part of a circle used to represent an angle between two intersecting lines
• Perpendicular lines


  Intersecting lines that form all exactly equal angles
• Right angle


  A square corner formed by perpendicular lines
• Acute angle


  An angle that is smaller or less than a right angle
• Obtuse angle


  An angle that is bigger or greater than a right angle
• Straight angle


  An angle formed by two rays pointing in exactly opposite directions, equivalent to a straight line
• Complementary angles


  Two angles that combine to form a right angle
• Supplementary angles


  Two angles that combine to form a straight angle