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Alternate Interior Angles

Abstract:: An interactive applet and associated web page that demonstrate the alternate interior angles that are formed where a transversal crosses two lines. The applets shows the two possible pairs of angles alternating when in animation mode. By dragging the three lines, it can be seen that the angles are congruent only when the lines are parallel. When not in animated mode, there is a button that alternates the two pairs of angles. The text on the page discusses the properties of the angle pairs both in the parallel and non-parallel cases. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

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Interior Angles of a transversal

Abstract:: An interactive applet and associated web page that demonstrate the interior angles that are formed where a transversal crosses two lines. The applets shows the two possible pairs of angles in turn when in animation mode. By dragging the three lines, it can be seen that the angles are supplementary only when the lines are parallel. When not in animated mode, there is a button that alternates the two pairs of angles. The text on the page discusses the properties of the angle pairs both in the parallel and non-parallel cases. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

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Abstract:: An interactive applet and associated web page that demonstrate the relationship of the interior and exterior angles of a polygon. The applet shows an irregular polygon where one vertex is draggable. As it is dragged the interior and exterior angles at that vertex are displayed, and a formula is continuously updated showing that they are supplementary. The tricky part is when the vertex is dragged inside the polygon making it concave. The applet shows how the relationship still holds provided you get the signs of the angles right. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

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Abstract:: An interactive applet and associated web page that demonstrate the concept of the interior of an angle. The applet shows an angle where the user can drag the points that define it. A free-floating point can be dragged, and any time it is in the interior of the angle it 'lights up' to show that fact. It can be seen that the interior region stretches out to infinity even if the angle is defined by finite-length segments. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Abstract:: Explores the application of building technology to architecture through considerations of building construction -- materials and methods -- and systems -- structure, enclosure, climate and utility services, light, acoustics, fire safety, and accessibility. Includes lectures, laboratory exercises, site visits, problem sets, and a semester-long student investigation of a precedent building. Required of Course IV majors.