4/24/12 What are altitudes , perpendicular bisectors and angle bisectors?

What are Altitudes, Perpendicular bisectors and Angle bisectors?

                     


                                       Angle bisectors


- an angle bisector,bisects an angle in half creating two congruent angles
Ex:

                            Perpendicular Bisectors
- a line that cuts through another line going in the opposite direction or bisects a side
Ex:

                                           Altitudes 
- a line segment through a vertex that is perpendicular to a line containing side
- makes a right angle
- is the height of the triangle

Ex:

Practice question : If the given height of the triangle is 14, What is the length of the altitude ? Explain your answer.











                                                        Citations


       -Triangle angle  bisector theorem, Math warehouse ,http://www.mathwarehouse.com/geometry/similar/triangles/angle-bisector-theorem.php

- Perpendicular bisector - interactive applet , http://www.analyzemath.com/Geometry/PerpendicularBisector/PerpendicularBisector.html , April ,3 2011

- Triangles , bisectors and circumcircles - interactive applet , http://www.analyzemath.com/Geometry/Circumcircle/Circumcircle.html , April ,3 2011

- Miller , Maria , Altitude of a triangle , homeschoolmath.net , http://www.homeschoolmath.net/teaching/g/altitude.php , 2003-2012