math exam

• Polygon


  Closed figure made up of three or more line segments joined at their endpoints
• Polygon


  Comes from Greek poly (many) and gonia (angles)
• Convex polygons


  • Any two interior points can be connected by a line that stays inside the polygon
• Equiangular polygons


  • All angles are congruent
• Equilateral polygons


  • All sides are congruent
• Regular polygons


  • All sides and angles are congruent
• Concave polygons


  • Line that passes the outside of the figure
• Three angles of interest


  • Vertex angle
  • Central angle
  • Exterior angle
• Number of diagonals in a polygon

  n(n-3)/2
• Sum of interior angle measures

  • (n-2)180°
• Sum of exterior angle measures

  • 360°/n
• Circle


  • Center - midpoint of a circle
  • Circumference - distance around the circle
  • Diameter - connects two points on the circle and passes through the center
  • Radius - one endpoint in the center, other endpoint is any point on circle
  • Chord - endpoints lie on the circle
  • Secant - intersect the circle in two points that go infinite
  • Tangent - intersects the circle in exactly one point
  • Arc - part of the circumference
  • Minor arc - arc that has angle less than 180 degrees
  • Major arc - arc that has angle more than 180 degrees
• Types of triangles


  • Scalene
  • Isosceles
  • Equilateral
  • Acute
  • Obtuse
  • Equiangular
  • Right
• Altitude


  Height of a triangle
• Exterior angle theorem


  The measure of the exterior angle is the sum of the two remote angles
• Types of quadrilaterals


  • Trapezoid
  • Isosceles trapezoid
  • Trapezium
  • Parallelogram
  • No pair of parallel sides
  • Two pairs of parallel sides
• Geo - earth, metrein - to measure
• Point has no dimension, length, width, thickness
• Line is a set of points arranged in a row
• Plane is a flat surface that extends infinitely along its length and width
• Straight edge

  Used to construct a line, ray, segment
• Compass


  Used to construct an arc or a circle
• Types of angles


  • Acute
  • Right
  • Obtuse
  • Straight
• Protractor


  Used to measure an angle
• Parallel lines


  Two lines that are at equal distance and never meet
• Transversal line


  Intersects two coplanar lines at two different points
• Types of graphs


  • Bar graph
  • Line graph
  • Pie chart
• Measures of central tendency


  • Mean
  • Median
  • Mode
• Unimodal


  One mode
• Bimodal


  Two modes
• Multimodal


  More than two modes