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Then construct the perpendicular bisector of segment AB by following the procedure outlined below:  Step 1: With the compass point at A, draw a large arc with a radius greater than ❚B but less than the length of AB so that the arc intersects AB.  Step 2: With the compass point at B, draw a large arc with the same radius as in step 1 so that the arc intersects the arc drawn in step 1 twice, once above AB and once below AB. Label the intersections of the two arcs C and D.  Write a proof that segment CD is the perpendicular bisector of segment AB. Įxploring Constructions with Geometer’s Sketchpad  G.PS.4b, G.CM.5d, G.G.17a, G.G.28a Use a straightedge to draw an angle and label it ∠ABC. Then construct the bisector of ∠ABC by following the procedure outlined below:  Step 1: With the compass point at B, draw an arc that intersects BA and BC. Label the intersection points D and E respectively.  Step 2: With the compass point at D and then at E, draw two arcs with the same radius that intersect in the interior of ∠ABC.  Write a proof that ray BF bisects ∠ABC.Įxploring Constructions with Geometer’s Sketchpad G.G.20a Construct an equilateral triangle with sides of length b and justify your work.Įxploring Constructions with Geometer’s Sketchpad G.RP.3e, G.RP.5c, G.CM.5e Construct an angle of 300 and justify your construction.Įxploring Constructions with Geometer’s Sketchpad  G.R.1b, G.R.3a, G.R.5a, G.G.30a Using a dynamic geometry system draw ΔABC similar to the one below. Drag a vertex and make a conjecture about the sum of the interior angles of a triangle. Extend this investigation by overlaying a line on side AC. Measure the exterior angle at C and the sum of the interior angles at A and B. Justify your conjectures.Įxploring Constructions with Geometer’s Sketchpad G.G.43bĮxploring Constructions with Geometer’s SketchpadĮxploring Constructions with Geometer’s Sketchpad  G.PS.2d, G.CM.1c, G.G.21a Using dynamic geometry software, locate the circumcenter, incenter, orthocenter, and centroid of a given triangle. #GSP5 CONSTRUCTING A PERPENDICULAR BISECTOR ANSWERS HOW TO#.