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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