![geometer sketchpad activities geometer sketchpad activities](https://www.dynamicgeometry.com/Images/classroomActivities/GSP5Modules/exp_expressions.gif)
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#GEOMETER SKETCHPAD ACTIVITIES SOFTWARE LICENSE#
Write down your observations.TEXAS INSTRUMENTS APP SOFTWARE LICENSE AGREEMENTīy downloading the software and/or documentation you agree to abide by the following provisions. Were you right? Watch the measurements of all areas as you move F along the segment. Nowmeasure the area of your triangles and quadrilateral. How doyou think the areas of the triangles are related to the area of thequadrilateral? Be sure to writedown your observations when F is the same point as A and C and also when F isthe midpoint. Construct theinteriors of all regions, using different colors for the sections.
![geometer sketchpad activities geometer sketchpad activities](https://i.pinimg.com/originals/66/4f/c6/664fc6aeb3f2a2072683b9f2732df75c.jpg)
Now,let’s use your parallelogram to find the relationship between area of theparallelogram and area of a triangle.īeforeyou construct the diagonal, hide the interior of the parallelogram by using thepoint tool to highlight the interior and choosing ‘hide interior’ from the‘display’ menu. Writea formula for finding the area of a parallelogram using A for area, b for baseand h for height.Use these measurements to find the area of your parallelogram. How canyou find the height of your parallelogram? Which of these movements changes the area of yourquadrilateral and which don’t? Whydo you think this is so? Whathappens if you move D? E? F? Move line EG up or down. Make sure the interior of your shape is highlighted and thengo to the ‘measure’ menu and choose ‘area’. Let’suse GSP to measure the area of your quadrilateral.Yourconstruction should now look like this:
![geometer sketchpad activities geometer sketchpad activities](https://i.pinimg.com/originals/98/86/f0/9886f03c47969257be7e54e888ceab0c.jpg)
You can change the color by going to the ‘display’ menu andchoose a different color. To dothis, use the point tool to highlight all four points and then use the‘construct’ menu and choose ‘Quadrilateral Interior’. What’sthe name of this shape? Let’sconstruct the interior.Then highlight line FG outside thesegment and hide the line. Choose points F and G, construct a segment. Nowwe need to cut this line down to a segment.Label the intersection of this new lineand the upper line G. Construct a parallel line that passes through point F. Constructanother point on the lower line and label it F.Constructa segment, label it DE, that goes from the lower lineto the upper line.This new line will pass through point Cand be parallel to your original line. Highlightboth point C and line AB and construct a parallel line.Constructpoint C somewhere above the line.Opena new sketch and construct a horizontal line AB.Now, let’s take what we’ve learned about constructions anddo some investigations with area. Constructthe segment FK and hide the line FK.Label the intersection of line CD andthe perpendicular F. Constructa line that is perpendicular to CD that also passes through point K.Constructa line that is parallel to CD and passes through point K.To begin,we need to become familiar with some of the commands in GSP. The firstthing you need to do is open the program. Todaywe’re going to use a program called Geometer’s Sketchpad (GSP) to do someactivities in geometry.