Geometry G8 3RD

• Mathematical System Is a system or structure that consists of undefined terms, postulates, and theorems.
• Undefined terms are terms that cannot be precisely defined
• Defined terms are terms that have a formal definition
• A statement that can be accepted without any proof

  Axioms/Postulates
• A statement that can be proven

  Theorems
• Identify all of the following Undefined Terms:

  Point, Line, and Plane
• Identify all defined terms

  Collinear points, coplanar points, and subsets of a line
• identify the following axioms/postulates:

  Postulate 1,2,3,4,5,6
• Identify all following theorem:

  Theorem 1,2,3
• position in space. Has only one location, but no dimension, length, and thickness and does not occupy an area

  point
• A straight continous arrangement of infinitely many points. It's length is infinite. It extends infinitely in two directions, but has no thickness.

  Line
• A flat surface that extends infinitely along its lenght aand width. It has length and width, but no thickness.

  Plane
• A point is named using a

  Capital letter
• A lines is named using a

  Small letter or by any two points on a line.
• A plane is named using a

  Single capital letter.
• At least how many points determine a plane?

  Three non-collinear points.
• Part of the line consisting of two endpoints and all the points in between.

  Line segment
• Part of the lines with only one endpoint extending in only one direction.

  Ray
• A line that contains at least two points

  Postulate 1
• A plane that contains at least non-collinear points.

  postulate 2
• Through any two points there is exactly one line

  postulate 3
• Through any three non-collinear points there is exactly one plane

  postulate 4
• If two points lie in the plane then the line joining them lies in that plane

  Postulate 5
• If two plances intersect then their intersection is a line

  Postulate 6
• If two lines intersect then they intersect in exactly one point.

  Theorem 1
• If a point lies outside a line, then exactly one plane contains both the line and the point

  theorem 2
• if two lines intersect then exactly one plane contains both lines.
• A figure can be congruent if

  they have the same size and shape
• How does a Rotation turn?

  Clockwise or counterclockwise
• How does a translation move?

  Slides in the same distance and direction
• How does a reflection move?

  Flipping
• What property is an angle that is always congruent to itself?

  reflexive property
• what property is figure 2 congruent to figure 1

  Symmetric property
• What property is figure 1 is also congruent to figure 3?

  transitive property?
• The sum of the three interior angles in a triangle is always 180 degrees

  triangle sum theorem
• 2 sides are equal

  isoceles
• equal sides


  equilateral
• measure of the angles from 1 to 89 degrees

  acute
• more than 90 degrees

  obtuse
• two angles


  equiangular