Geometer's Sketchpad Notes

Notes & TOC

Segments & Circles & Triangles
Segment	Click on Segment tool, on left. Click on the work area where you wish the segment to have an endpoint. Drag the point to the other desired endpoint and release, OR Click on the location of the other desired endpoint. Click on Arrow (Select) tool, on left. Click on an empty space on the work area to finalize the construction.
Triangles	Click on Segment tool, on left. Click on the work area where you wish the triangle to have a vertex. Construct a segment. Construct a second and then third segment, connected to the first vertex. Click on the Polygon tool. Beginning with the first vertex constructed, click the triangle’s vertices in order. End by clicking on the first vertex. Yes, that makes 4 clicked vertices. Click on the Arrow tool. Click on an empty space on the work area to finalize the construction.
Circle, Isosceles and Equilateral Triangles and Rhombus     One circle yeilds 2 congruent segments.     Two circles yeilds 3 congruent segments.     Three circles yeilds 4 congruent segments.	Click on the Circle tool, on left. Click on the work area where you wish the center of the circle to be. Drag from the center to a desired circle point (to set the radius), OR Click on the location of s point on the desired circle. Click on Arrow (Select) tool, on left. Click on an empty space on the work area to finalize the construction.     The circle may be used to measure equal distances. Here an ISOCELES TRIANGLE is being constructed. Click on the Circle in the work area. Click on Arrow (Select) tool, on left. Click on the Display menu at the top and choose Hide Circle. Click on an empty space on the work area to finalize the construction.

Construct Perpendiculars and Other Stuff

Perpendicular Construct a segment. Click on Select tool (Arrow), on left, and then deselect the segment (by clicking on a blank space in the work area). Still using the Select tool, select both:     a. the segment and     b. one endpoint of the segment. Pull down the Construct menu from on the top of the work area. Click on Perpendicular Line and the perpendicular is drawn. (Optional) Click on an empty space on the work area to finalize the construction of the perpendicular. Click on the Segment tool to begin to construct a segment on the perpendicular. Select the point of intersection of the original segment and the perpendicular line as the first segment endpoint.     Notice that when you select this as an endpoint, the line turns red.     As you slide to the new endpoint the segment remains red. When you release the mouse to select the second endpoint,     a. the segment is highlighted in red,     b. the remainder of the perpendicular line is dashed. Click on an empty space on the work area to finalize the construction. Select the perpendicular line but not on the segment. Click on the Display menu at the top and choose Hide Perpendicular Line. Click on an empty space on the work area to finalize the construction.

Parallelogram Construct a segment then another segment connected at an endpoint. Select     a. one segment and the     b. endpoint not on that segment.       Construct a Parallel line. Repeat the process with the other segment and other endpoint. Yes, the lines look like they intersect, but, it is not a point of inteersection unless the point is constructed.     Select each line and use Construct on the top menu bar to construct Point of Intersection (Shift+Ctrl+I). Choose the 2nd polygon on the Polygon Tool and form the polygon. Five points are needed for a parallelogram. Use the Segment Tool twice to construct a segment on each of the "parallel lines." Select each of the "parallel lines" one by one or at the same time.     Use the Display Menu at the top and Hide Parallel Line. Click on an empty space on the work area to finalize the construction.

www.mathnstuff.com/math/gsp/sumr19/gsp1.htm   © Summer 2019 A. Azzolino