Geogebra Construction Mini-Project www.geogebra.org Due Date: Contstruct the following objects using the GeoGebra program. In addition, you must print out and submit your constructions: Congruent Segments Segment Bisector (p. 27) Congruent Angles Angle Bisectors (p. 27) Parallel Lines (p. 154) Transversals (p. 154) Perpendicular Lines (p. 188-189) Perpendicular Bisector Midpoints (p.12) 2 intersecting lines Prove Angle Addition Postulate The goal of this activity is to not only create the above constructions, but to also have a deeper understanding of what they represent. Each construction should include an explanation as to how you created it, as well as some justification as to why it is an accurate demonstration. For example, “I know this demonstrates an example of a _________________ because…” In addition to the above constructions, students are to create a slider and animate angle pairs in GeoGebra. The goal is to animate a pair of complementary and supplementary angles and to animate a vertical angle pair. Students should print out a copy of their angle pairs, complementary angles, and supplementary angles. The instructions to creating a slider are below: 1. Click Slider 2. Click on screen 3. Slider Boxa. Click angle b. Min- 0 Max 180 degrees 4. Right click on slider, select object properties a. Slider Box- width 180 deg. 5. Select angle with given size a. Click 2 points on screen b. In box select symbol that represents symbol on slider 6. Create lines through 3 points. (Each side of the vertical angle) 7. Create two points on opposite lines (Vertical angle) Rubric for Geogebra Activity 4- Advanced 3- Proficient 2- Basic 1- Below Basic 0- No response Item Congruent Segments Segment Bisector (p. 27) Congruent Angles Angle Bisectors (p. 27) Parallel Lines (p. 154) Transversals (p. 154) 4 3 2 Segments are labeled with endpoints and show measurements and include explanations Segments are labeled with endpoints and show measurements and include explanations Congruent angles are labeled with vertices and angle measurements shown and include explanations Angle bisectors are labeled and the new bisected angles show measurements and include explanations Segments are labeled with endpoints and show measurements Segments are labeled with endpoints and show measurements Congruent angles are labeled with vertices and angle measurements shown Segments are labeled with endpoints or measurements Angle bisectors are labeled and the new bisected angles show measurements Angle bisectors are labeled or the new bisected angles show measurements Parallel lines are shown with equations of lines showing they are parallel and include explanations 2 parallel lines and a transversal are shown with angles numbered. Text box indicating angle postulates are included (alt.interior, alt. exterior, etc.) and include explanations Parallel lines are shown with equations of lines showing they are parallel or include explanations 2 parallel lines and a transversal are shown with angles numbered. Text box indicating angle postulates are included (alt.interior, alt. exterior, etc.) Parallel lines are shown with equations of lines showing they are parallel Segments are labeled with endpoints or measurements Congruent angles are labeled with vertices or measurements 2 parallel lines and a transversal are shown with angles numbered. Text box indicating angle postulates are included (alt.interior, alt. 1 Segments are included with endpoints but are part of another drawing Segments are included with endpoints but are part of another drawing Congruent angles are labeled or include measurements as part of another drawing Angle bisectors are labeled or the new bisected angles show measurements as part of another drawing Parallel lines are shown with equations of lines showing they are parallel as part of another drawing 2 parallel lines and a transversal are shown with angles numbered. 0 No segment shown No segment bisector shown No congruent angles shown No angle bisector shown No parallel lines shown No transversals shown Perpendicular Lines (p. 188189) Perpendicular lines are shown with equations of lines included to show perpendicular and include explanations Perpendicular lines are shown with equations of lines included to show perpendicular Perpendicular Bisector Perpendicular lines are shown with measures of the bisected segment pieces and include explanations Line is shown with segment measurements to show its midpoint and include explanations Two lines are shown and labeled, including the solution and include explanations Line shows pieces as well as the total length to prove postulate and include explanations Angle pairs are included along with slider and include explanations A pair of complimentary angles is shown including the slider and include explanations A pair of supplementary angles are shown along with the slider and include explanations Perpendicular lines are shown with measures of the bisected segment pieces Midpoints (p.12) 2 intersecting lines Prove Angle Addition Postulate angle pairs complementary angles supplementary angles exterior, etc.) Perpendicular lines are shown Perpendicular lines are shown as a part of another drawing. No perpendicula r lines shown Perpendicular line with bisectors are shown Perpendicular line with bisectors are shown as part of another drawing. No perpendicula r bisectors shown Line is shown with segment measurements to show its midpoint. Line is shown with a midpoint but missing measurements Midpoint is shown as part of another drawing No midpoints shown Two lines are shown and labeled, including the solution Two lines are shown intersecting, but not labeled 2 lines are shown as part of another drawing No intersecting lines shown Line shows pieces as well as the total length to prove postulate Lines are shown, but missing measurements Angle addition postulate is shown as part of another figure No proof of angle addition postulate Angle pairs are included along with slider. Angles pairs are included. Angle pairs are included as part of another figure No angle pairs shown A pair of complimentary angles is shown including the slider A pair of complimentary angles is shown Complimentary angles are shown as part of another figure No complimenta ry angles shown A pair of supplementary angles are shown along with the slider A pair of supplementary angles is shown Supplementary angles are included as part of another drawing. No supplementa ry angles shown