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Using Geometer’s SKETCHPAD

Using Geometer’s SKETCHPAD . Bisectors Medians Altitudes By Tiem Vo. 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:

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Using Geometer’s SKETCHPAD

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  1. Using Geometer’s 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.

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