![]() I also created a similar tutorial on creating an equilateral triangle but using GeoGebra. Explain why triangle ABC is always an equilateral triangle.ġ2.) If you want to save your file, click the File menu from the menu bar and click Save from the drop-down menu.ġ3.) Type the file name of your first sketch, choose a location to save, then click Save.To do this, select one of the sides of the triangle, click Measure from the menu bar and choose Length from the drop-down menu. We will display the length of the segments. What kind of triangle is triangle ABC? Why do you say so?ġ1.) Let us try to see if your conjecture about triangle ABC is true.Using the selection arrow tool, move the points on the vertices of the triangle. Notice that the only left objects on the drawing area are points A, B and C.ġ0.) Select segment tool (be sure that you choose the segment tool, not the ray tool or line tool) from the straightedge tool, then connect the three points to form triangle ABC. In the Geometer’s Sketchpad Tutorial 3, we are going to learn how to construct graphs and sliders.įigure 6 – The two circles and point D are selected.ĩ.) To hide the selected objects, click the Display menu and choose Hide Objects. What do you observe?Ģ6.) Explain why the area of the triangle is constant when you move point Q. What do you observe?Ģ5.) Move point Q along the line. To do this, select segment QD (not the points), click the Measure menu, then click Length.Ģ4.) Now move the points on the drawing. To do this, right click line QD (not the points), then click Hide Perpendicular Lines, then select the segment tool, click point Q and click point D.Ģ2.) To turn altitude QD to a dashed line, right click it and choose Dashed from the pop-up menu.Ģ3.) Our last step is to display the length of QD. Its name should be D.Ģ1.) We hide the line QD, but leaving points Q and D. To do this, select line PR (not the points), click the line perpendicular to PR, then click the Construct menu and click Intersection form the list.Ģ0.) Display the label of the intersection point. To do this, click line PR (not the points), select point Q, then click the Construct menu and select Perpendicular Line form the list.ġ9.) Next, we construct the intersection of PR and the line perpendicular to it. Since the altitude of the is perpendicular to its base, we must construct a segment perpendicular to PR and passing through Q. What can you say about the measure of the base of the triangle?ġ8.) Next, we construct the altitude of triangle PQR. To do this, click points P and R, click the Measure menu and click Distance.ġ7.) Move point Q. To display the length of the base we just have to find the distance between P and R. So, let us see what happens to the length of the base and the altitude when we move point Q. What do you observe? Can you think of the reason why your observation is such?ġ6.) The area of a triangle is the product of its base and its altitude. ![]() Notice that a text containing the area of PQR appeared at the left corner of your drawing area.ġ5.) Move point Q. Now, we will observe what happens to the area of the triangle if we move point Q along the line parallel to PR.ġ4.) To display the area of the triangle, click the interior of the triangle, click the Measure menu, then click Area. Part II: Exploring the Properties of the Dancing Triangle If more than one object is selected, click the blank part of the drawing area, then click point A.Ħ.) In the Properties dialog box, click the Label tab and change the name of A to P as shown in Figure 3 and click the OK button when you are done.įigure 5 – Triangle PQR with with three of its vertices on two parallel lines. Note: Be sure that only point A is selected. To rename point A to Q, select point A, click the Edit menu from the menu bar and click Properties. The arrow tool is used in selecting and moving objects.ĥ.) Next, we change the name of the two points to P and R. ![]() If you have not read tutorial 1, we select an object by clicking the arrow tool and clicking the object. Ĥ.)Display the label of the two points by selecting both of them, clicking the Display menu from the menu bar and selecting Show labels from the list. Notice that Sketchpad names the objects in alphabetical order. Part I: Constructing the Dancing TriangleĢ.) Click the arrow at the straightedge tools and choose line tool.ģ.) Click two distinct locations on the drawing area to construct line AB. measure the distance between two pointsįollow the steps below to construct the Dancing Triangle.construct perpendicular and parallel lines.In constructing the figure, we will learn the following skills: Figure 1 – Triange PQR with three of its vertices on two parallel lines.
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