TRIANGLES PROJECT

TRIANGLES PROJECT

1. KEVIN ALEXIS DE LARA MERAZ

   • 01/03/2019
   • 08/03/2019

2. Chapter 4

   • Classifying 4-1
     • Angles
       • Equiangular all angles are the same
       • acute all angles less than 90
       • right one angle 90
       • obtuse one angle more than 90
     • Sides
       • Scalene
       • isosceles two sides have same length
       • equilateral all sides have same length
   • Angles 4-2
     • Auxiliary lines is an extra line or segment to help analyze geometric relations
     • Exterior angle theorem the measure of an exterior angle of a triangle is equal to the sum of 2 remote interior angles
     • Exterior angles are formed by one side of the triangle and the extension of an adjacent side
   • Congruency 4-3
     • In two congruent polygons all of the parts of one polygon are congruent to the corresponding parts or matching parts of the other polygon
   • Transformations 4-7
     • A transformation is an operation that maps an original geometric figure, the preimage, onto a new figure called the image
       • Reflection
       • Translation
       • Rotation
     • A congruent transformation also called a rigid transformation or an isometry is where the image moves but stays congruent

3. Chapter 5

   • Special Segments 5-1
     • Perpendicular bisector is if a bisector is perpendicular to the segment
       • Perpendicular Bisector Theorem If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoint of that segment
     • concurrent lines, when three or moreines intersect, the point where they intersect is called a point of concurrency
       • circumcenter
         • perpendicular bisector
       • incenter
         • angle bisector
       • centroid
         • medians
       • orthocenter
         • altitudes
   • Inequalities 5-3
     • The measure of an exterior angle of a triangle is greater than the measure of either of its corresponding remote interior angles