MATH third quarter exam

• Central angle


  An angle with its vertex at the center of a circle
• Arc


  An unbroken part of a circle
• Minor arc


  The shorter arc joining the two points on the circumference of a circle
• Major arc


  The larger arc joining the two points on the circumference of a circle
• Semicircle


  A half of a circle which is joined by the two endpoints of a diameter
• Central angle of an arc


  A central angle that intersects a minor arc at its endpoints
• The measure of a minor arc is defined to be the measure of its corresponding central angle
• The measure of a semicircle is 180°
• Every major arc has a measure greater than 180°
• Measure of a major arc

  Subtracting the measure of the associated minor arc
• A minor arc measures between 0° and 180°
• The semicircle measures exactly 180°
• The whole circle measures 360°. Hence, the major arc measures between 180 deg and 360 deg
• Inscribed angle


  An angle whose vertex is on a circle and whose sides contain chord of the circle
• Intercepted arc


  The part of the circle between the intersection points when two straight lines cross a circle
• The measure of an inscribed angle is equal to half the measure of the intercepted arc
• The measure of an angle formed when a chord intersects a tangent line at the point of tangency is equal to half the measure of the intercepted arc by the chord and the tangent line
• The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle
• If two chords intersect inside a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord
• Tangent segment


  A segment that is tangent to a circle at an endpoint
• Secant segment


  A segment that intersects a circle at two points
• Multiplication Principle


  If there are n ways of doing something, and m ways of doing another thing after that, then there are n×m ways to perform both of these actions
• Addition Principle


  If there are n choices for one action and m choices for another action, and the two actions cannot be done at the same time, then there are n+m ways to choose one of these actions
• Permutation


  An arrangement of the elements of a set in a certain order
• Circular permutation


  An ordered arrangement in a circular pattern
• Combination


  An arrangement of elements without a specific order
• Outcome


  The possible result in doing an experiment or a trial
• Probability


  A type of ratio where we compare how many times an outcome can occur compared to all possible outcomes
• Mutually exclusive events


  Two or more events that have no outcomes in common and cannot occur at the same time
• Mutually inclusive events


  Two or more events that have some overlap with each other and can happen at the same time
• Statistics


  A branch of Mathematics that deals with the collection, organization, presentation, analysis, and interpretation of data
• Population

  The complete collection of all elements to be studied
• Census

  The collection of data from every element in a population
• Sample

  A subcollection of elements drawn from a population
• Kinds of Sampling


  • Random Sampling
  • Systematic Sampling
  • Convenience Sampling
  • Cluster Sampling
  • Stratified Sampling
• Quantitative Data


  Data consisting of numbers representing counts or measurements
• Qualitative Data


  Data that approximates, categorizes, and characterizes
• Kinds of Data


  • Discrete Data
  • Continuous Data
• Scales of Measurement


  • Nominal Scale
  • Ordinal Scale
  • Interval Scale
  • Ratio Scale
• Frequency


  How often something happened