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Using Geometer - PowerPoint PPT Presentation

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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Presentation Transcript

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:

Definition

Theorem

Making connections with Objectives

Activities

Assessment in this Lesson

Check for understanding

Hand out home work

VOCABULARY

Perpendicular bisector

concurrent lines

point of concurrency

circumcenter

incenter

incenter

median

centroid

altitude

orthocenter

Theorem: Concurency of perpendicular Bisector of triangle

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

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

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

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.