Marg

• Acute 10⁰-89⁰
• Right exact 90⁰
• Obtuse 90⁰ but less 180⁰
• Straight exact 180⁰
• Straight Exact 180⁰
• Point


  It has no length or width
• Line


  It has infinite length but has no width
• Plane


  It has infinite length and width
• Space


  The set of all points
• Figure


  Any sets of points
• Coplanar


  Set of points that all lie on the same plane
• Collinear points


  Points that are not on the same line
• Non-coplanar points


  Points are not on the same plane
• Skew lines


  Two lines that are not coplanar
• Line


  Set of points, subset of line are line segment and ray
• Line segment


  Two distinct endpoints
• Ray


  Exactly one endpoint and one arrow head
• Midpoint


  Point that divides the segment into two congruent segments
• Segment bisector


  Line or plane that intersects a segment its midpoint
• Angle


  Formed by two non-collinear rays with common endpoints
• Sides


  Two non-collinear
• Vertex


  Common endpoint
• Acute angle


  Measures more than 0⁰ but less than 90⁰
• Right angle


  Measures exactly 90⁰
• Obtuse angle


  Measures more than 9⁰ but less than 180
• Straight angle


  Measures exactly 180⁰
• Supplementary Angles are two angles whose measures add up to to 180°.

  Adjacent Angles are two distinct angles with common vertex and a common side

  Linear Pair is composed of two adjacent angles whose measures have the sum of 180°.

  adjacent angles form a straight line.

  Vertical Angles are two nonadjacent angles formed by two intersecting lines. Vertical angles are congruent.

  Linear Pair is composed of two adjacent angles whose measures have the sum of 180°. These adjacent angles form a straight line.
• Complementary Angles are two angles whose measures add up to 90°.
• Two lines are Perpendicular if:  They are intersecting.  They form right angles.

  Two lines are Parallel if:  They are coplanar.  They do not intersect.  The distance between the corresponding points of the parallel lines is equal.
• Exterior Angles


  Angles outside the parallel lines
• Interior Angles


  Angles between the parallel lines
• Alternate Interior Angles


  Both interior angles, non-adjacent angles, on the opposite sides of the transversal line
• Alternate Exterior Angles


  Both exterior angles, non-adjacent angles, on the opposite sides of the transversal line
• Corresponding Angles


  One interior and one exterior angle, non-adjacent angles, on the same side of the transversal line
• Interior Angles on the Same Side of the Transversal


  Both interior angles, non-adjacent angles, on the same side of the transversal line
• Exterior Angles


  • An exterior angle of a polygon is formed by extending one of the sides of the polygon outside of the polygon, thus creating an angle supplementary to the interior angle at that vertex
  • Because of the congruence of vertical angles, it doesn't matter which side is extended; the exterior angle will be the same
• The sum of the exterior angles of any convex polygon is 360 degrees
• Interior Angles


  • A polygon with n sides has n vertices, and therefore has n interior angles
  • The sum of these interior angles is equal to 180°(n-2)
• Circle


  A set of all points in a plane that are equidistant from a fixed point called the center
• Radius


  The distance from the center to any point on the circle