Using Geometer

1
Using Geometers SKETCHPAD

• Bisectors
• Medians
• Altitudes
• By Tiem Vo

2
Planning a Lesson

• OVERVIEW
• Points Segments Rays and Planes
• OBJECTIVES
• Classify a triangles by its sides
• Classify a triangles by its angles
• understand both visualization and application of
  Math concepts by
• Definition
• Theorem
• Making connections with Objectives
• Activities
• Assessment in this Lesson
• Check for understanding
• Hand out home work

3

• CLASSIFY TRIANGLES BY SIDES

4

• CLASSIFY TRIANGLES BY ANGLES

5
VOCABULARY

• Perpendicular bisector
• concurrent lines
• point of concurrency
• circumcenter
• incenter
• incenter
• median
• centroid
• altitude
• orthocenter

6
Special Lines in triangles

• .

7
Theorem Concurency of perpendicular Bisector of
triangle

• The perpendicularbisectore of a triangle
  intersect at point that is equidistant from the
  vertices of triangle.

8
Theorem Concurency of Angle Bisector of triangle

• The angle bisectors of a triangle intersect a
  point that is equidistant from the sides of the
  triangle

9
THEOREM Concurrency of Medians of a triangle

• The medians of a triangle intersect at a point
  that is distance from each vertex to the midpoint
  of the opposite side. If P is the centroid of
  triangle ABV, then
• AP 2/3 AD, BP 2/3BF
• And CP 2/3 CE

10
Making connections with objectives

• A company plans to build a distribution center
  that is convenient to three of its major clients.
  The planners start by roughly locating the three
  clients ona sketch and finding the circumcenter
  of the triangle formed
• a. Explain why using the cir cumcenter as the
  location center would be convenient for all the
  clients.
• b. Make a sketch of the triangle formed by the
  clients. Locate the circumcenter of the triangle.
  Tell what segment are congruent.